89477498880 has 1152 divisors, whose sum is σ = 401812669440. Its totient is φ = 18552913920.

The previous prime is 89477498867. The next prime is 89477498959. The reversal of 89477498880 is 8889477498.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 89477498799 and 89477498808.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191600407 + ... + 191600873.

It is an arithmetic number, because the mean of its divisors is an integer number (348795720).

Almost surely, 2^89477498880 is an apocalyptic number.

89477498880 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 89477498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200906334720).

89477498880 is an abundant number, since it is smaller than the sum of its proper divisors (312335170560).

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

89477498880 is a wasteful number, since it uses less digits than its factorization.

89477498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 89477498880 in words is "eighty-nine billion, four hundred seventy-seven million, four hundred ninety-eight thousand, eight hundred eighty".