87258831818400 has 1296 divisors, whose sum is σ = 351450354737664. Its totient is φ = 20334758400000.

The previous prime is 87258831818387. The next prime is 87258831818407. The reversal of 87258831818400 is 481813885278.

87258831818400 is a `hidden beast` number, since 8 + 7 + 2 + 588 + 3 + 1 + 8 + 1 + 8 + 40 + 0 = 666.

It is a super-2 number, since 2×87258831818400² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87258831818407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4078076502 + ... + 4078097898.

Almost surely, 2^{87258831818400} is an apocalyptic number.

87258831818400 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 87258831818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175725177368832).

87258831818400 is an abundant number, since it is smaller than the sum of its proper divisors (264191522919264).

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

87258831818400 is a wasteful number, since it uses less digits than its factorization.

87258831818400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21627 (or 21600 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 63.

The spelling of 87258831818400 in words is "eighty-seven trillion, two hundred fifty-eight billion, eight hundred thirty-one million, eight hundred eighteen thousand, four hundred".