89137072640 has 640 divisors, whose sum is σ = 285101752320. Its totient is φ = 25908019200.

The previous prime is 89137072637. The next prime is 89137072649. The reversal of 89137072640 is 4627073198.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (89137072649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177210629 + ... + 177211131.

It is an arithmetic number, because the mean of its divisors is an integer number (445471488).

Almost surely, 2^89137072640 is an apocalyptic number.

89137072640 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 89137072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142550876160).

89137072640 is an abundant number, since it is smaller than the sum of its proper divisors (195964679680).

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

89137072640 is a wasteful number, since it uses less digits than its factorization.

89137072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The spelling of 89137072640 in words is "eighty-nine billion, one hundred thirty-seven million, seventy-two thousand, six hundred forty".