88635155040 has 384 divisors, whose sum is σ = 329579712000. Its totient is φ = 22184368128.

The previous prime is 88635154997. The next prime is 88635155051. The reversal of 88635155040 is 4055153688.

88635155040 is a `hidden beast` number, since 8 + 8 + 6 + 3 + 51 + 550 + 40 = 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 63 ways as a sum of consecutive naturals, for example, 8941767 + ... + 8951673.

It is an arithmetic number, because the mean of its divisors is an integer number (858280500).

Almost surely, 2^88635155040 is an apocalyptic number.

88635155040 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 88635155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164789856000).

88635155040 is an abundant number, since it is smaller than the sum of its proper divisors (240944556960).

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

88635155040 is a wasteful number, since it uses less digits than its factorization.

88635155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10059 (or 10045 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 88635155040 in words is "eighty-eight billion, six hundred thirty-five million, one hundred fifty-five thousand, forty".