89474505120 has 2304 divisors, whose sum is σ = 451213701120. Its totient is φ = 16258682880.

The previous prime is 89474505119. The next prime is 89474505149. The reversal of 89474505120 is 2150547498.

89474505120 is a `hidden beast` number, since 8 + 9 + 474 + 50 + 5 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4709184471 + ... + 4709184489.

It is an arithmetic number, because the mean of its divisors is an integer number (195839280).

Almost surely, 2^89474505120 is an apocalyptic number.

89474505120 is a gapful number since it is divisible by the number (80) 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 89474505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225606850560).

89474505120 is an abundant number, since it is smaller than the sum of its proper divisors (361739196000).

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

89474505120 is a wasteful number, since it uses less digits than its factorization.

89474505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 89474505120 in words is "eighty-nine billion, four hundred seventy-four million, five hundred five thousand, one hundred twenty".