88745009400 has 288 divisors, whose sum is σ = 309786422400. Its totient is φ = 23610787200.

The previous prime is 88745009389. The next prime is 88745009401. The reversal of 88745009400 is 490054788.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88745009401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23860741 + ... + 23864459.

It is an arithmetic number, because the mean of its divisors is an integer number (1075647300).

Almost surely, 2^88745009400 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 88745009400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154893211200).

88745009400 is an abundant number, since it is smaller than the sum of its proper divisors (221041413000).

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

88745009400 is a wasteful number, since it uses less digits than its factorization.

88745009400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 88745009400 in words is "eighty-eight billion, seven hundred forty-five million, nine thousand, four hundred".