88852623974400 has 2016 divisors, whose sum is σ = 352012301958240. Its totient is φ = 19640667340800.

The previous prime is 88852623974381. The next prime is 88852623974437. The reversal of 88852623974400 is 447932625888.

It is a super-2 number, since 2×88852623974400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86014156284 + ... + 86014157316.

It is an arithmetic number, because the mean of its divisors is an integer number (174609276765).

Almost surely, 2^{88852623974400} is an apocalyptic number.

88852623974400 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 88852623974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176006150979120).

88852623974400 is an abundant number, since it is smaller than the sum of its proper divisors (263159677983840).

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

88852623974400 is a wasteful number, since it uses less digits than its factorization.

88852623974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 66.

The spelling of 88852623974400 in words is "eighty-eight trillion, eight hundred fifty-two billion, six hundred twenty-three million, nine hundred seventy-four thousand, four hundred".