45577785960 has 384 divisors, whose sum is σ = 183953203200. Its totient is φ = 9550794240.

The previous prime is 45577785943. The next prime is 45577785977. The reversal of 45577785960 is 6958777554.

45577785960 is a `hidden beast` number, since 4 + 5 + 577 + 7 + 8 + 59 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45577785943) and next prime (45577785977).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1468927 + ... + 1499633.

It is an arithmetic number, because the mean of its divisors is an integer number (479044800).

Almost surely, 2^45577785960 is an apocalyptic number.

45577785960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45577785960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91976601600).

45577785960 is an abundant number, since it is smaller than the sum of its proper divisors (138375417240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45577785960 is a wasteful number, since it uses less digits than its factorization.

45577785960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30781 (or 30774 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 63.

The spelling of 45577785960 in words is "forty-five billion, five hundred seventy-seven million, seven hundred eighty-five thousand, nine hundred sixty".