89371913760 has 480 divisors, whose sum is σ = 332580390912. Its totient is φ = 22568232960.

The previous prime is 89371913759. The next prime is 89371913777. The reversal of 89371913760 is 6731917398.

89371913760 is a `hidden beast` number, since 89 + 3 + 7 + 191 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 89371913697 and 89371913706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18880354 + ... + 18885086.

Almost surely, 2^89371913760 is an apocalyptic number.

89371913760 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 89371913760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166290195456).

89371913760 is an abundant number, since it is smaller than the sum of its proper divisors (243208477152).

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

89371913760 is a wasteful number, since it uses less digits than its factorization.

89371913760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 89371913760 in words is "eighty-nine billion, three hundred seventy-one million, nine hundred thirteen thousand, seven hundred sixty".