80888522400 has 576 divisors, whose sum is σ = 335978496000. Its totient is φ = 18398223360.

The previous prime is 80888522399. The next prime is 80888522437. The reversal of 80888522400 is 422588808.

80888522400 is a `hidden beast` number, since 8 + 0 + 8 + 88 + 522 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33716401 + ... + 33718799.

It is an arithmetic number, because the mean of its divisors is an integer number (583296000).

Almost surely, 2^80888522400 is an apocalyptic number.

80888522400 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 80888522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167989248000).

80888522400 is an abundant number, since it is smaller than the sum of its proper divisors (255089973600).

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

80888522400 is a wasteful number, since it uses less digits than its factorization.

80888522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 80888522400 in words is "eighty billion, eight hundred eighty-eight million, five hundred twenty-two thousand, four hundred".