88262883878400 has 1920 divisors, whose sum is σ = 404370402923520. Its totient is φ = 18319343616000.

The previous prime is 88262883878353. The next prime is 88262883878437. The reversal of 88262883878400 is 487838826288.

88262883878400 is a `hidden beast` number, since 8 + 8 + 2 + 62 + 8 + 83 + 87 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36217841982 + ... + 36217844418.

It is an arithmetic number, because the mean of its divisors is an integer number (210609584856).

Almost surely, 2^{88262883878400} is an apocalyptic number.

88262883878400 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 88262883878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202185201461760).

88262883878400 is an abundant number, since it is smaller than the sum of its proper divisors (316107519045120).

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

88262883878400 is a wasteful number, since it uses less digits than its factorization.

88262883878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 528482304, while the sum is 72.

The spelling of 88262883878400 in words is "eighty-eight trillion, two hundred sixty-two billion, eight hundred eighty-three million, eight hundred seventy-eight thousand, four hundred".