88045605900 has 324 divisors, whose sum is σ = 321754797000. Its totient is φ = 20079360000.

The previous prime is 88045605889. The next prime is 88045605931. The reversal of 88045605900 is 950654088.

88045605900 is a `hidden beast` number, since 8 + 8 + 0 + 4 + 56 + 0 + 590 + 0 = 666.

It is a super-2 number, since 2×88045605900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 22003900 + ... + 22007900.

Almost surely, 2^88045605900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88045605900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160877398500).

88045605900 is an abundant number, since it is smaller than the sum of its proper divisors (233709191100).

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

88045605900 is a wasteful number, since it uses less digits than its factorization.

88045605900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 88045605900 in words is "eighty-eight billion, forty-five million, six hundred five thousand, nine hundred".