15061956480 has 576 divisors, whose sum is σ = 57456481680. Its totient is φ = 3762339840.

The previous prime is 15061956467. The next prime is 15061956487. The reversal of 15061956480 is 8465916051.

15061956480 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 1 + 9 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15061956487) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71383575 + ... + 71383785.

Almost surely, 2^15061956480 is an apocalyptic number.

15061956480 is a gapful number since it is divisible by the number (10) 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 15061956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28728240840).

15061956480 is an abundant number, since it is smaller than the sum of its proper divisors (42394525200).

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

15061956480 is an frugal number, since it uses more digits than its factorization.

15061956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 15061956480 in words is "fifteen billion, sixty-one million, nine hundred fifty-six thousand, four hundred eighty".