88087802400000 has 2592 divisors, whose sum is σ = 359417589552000. Its totient is φ = 21263523840000.

The previous prime is 88087802399999. The next prime is 88087802400089. The reversal of 88087802400000 is 420878088.

It is a super-2 number, since 2×88087802400000² (a number of 29 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 215373599796 + ... + 215373600204.

It is an arithmetic number, because the mean of its divisors is an integer number (138664193500).

Almost surely, 2^{88087802400000} is an apocalyptic number.

88087802400000 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 88087802400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179708794776000).

88087802400000 is an abundant number, since it is smaller than the sum of its proper divisors (271329787152000).

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

88087802400000 is an equidigital number, since it uses as much as digits as its factorization.

88087802400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 88087802400000 in words is "eighty-eight trillion, eighty-seven billion, eight hundred two million, four hundred thousand".