89757564272640 has 2736 divisors, whose sum is σ = 378290082564576. Its totient is φ = 20329959260160.

The previous prime is 89757564272639. The next prime is 89757564272653. The reversal of 89757564272640 is 4627246575798.

89757564272640 is a `hidden beast` number, since 8 + 9 + 7 + 57 + 564 + 2 + 7 + 2 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 655164702652 + ... + 655164702788.

It is an arithmetic number, because the mean of its divisors is an integer number (138263919066).

Almost surely, 2^{89757564272640} is an apocalyptic number.

89757564272640 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 89757564272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189145041282288).

89757564272640 is an abundant number, since it is smaller than the sum of its proper divisors (288532518291936).

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

89757564272640 is an equidigital number, since it uses as much as digits as its factorization.

89757564272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

The spelling of 89757564272640 in words is "eighty-nine trillion, seven hundred fifty-seven billion, five hundred sixty-four million, two hundred seventy-two thousand, six hundred forty".