88402642099200 has 7920 divisors, whose sum is σ = 437051122295040. Its totient is φ = 17390370816000.

The previous prime is 88402642099171. The next prime is 88402642099241. The reversal of 88402642099200 is 299024620488.

88402642099200 is a `hidden beast` number, since 8 + 8 + 4 + 0 + 2 + 6 + 420 + 9 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (7920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1245107635165 + ... + 1245107635235.

It is an arithmetic number, because the mean of its divisors is an integer number (55183222512).

Almost surely, 2^{88402642099200} is an apocalyptic number.

88402642099200 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 88402642099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218525561147520).

88402642099200 is an abundant number, since it is smaller than the sum of its proper divisors (348648480195840).

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

88402642099200 is a wasteful number, since it uses less digits than its factorization.

88402642099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 88402642099200 in words is "eighty-eight trillion, four hundred two billion, six hundred forty-two million, ninety-nine thousand, two hundred".