87395862400 has 576 divisors, whose sum is σ = 277200650880. Its totient is φ = 26449920000.

The previous prime is 87395862391. The next prime is 87395862413. The reversal of 87395862400 is 426859378.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 414198295 + ... + 414198505.

It is an arithmetic number, because the mean of its divisors is an integer number (481251130).

Almost surely, 2^87395862400 is an apocalyptic number.

87395862400 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 87395862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138600325440).

87395862400 is an abundant number, since it is smaller than the sum of its proper divisors (189804788480).

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

87395862400 is a wasteful number, since it uses less digits than its factorization.

87395862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 87395862400 in words is "eighty-seven billion, three hundred ninety-five million, eight hundred sixty-two thousand, four hundred".