87845990400 has 1560 divisors, whose sum is σ = 398188755360. Its totient is φ = 18685624320.

The previous prime is 87845990389. The next prime is 87845990443. The reversal of 87845990400 is 409954878.

87845990400 is a `hidden beast` number, since 8 + 7 + 8 + 4 + 599 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 987033556 + ... + 987033644.

Almost surely, 2^87845990400 is an apocalyptic number.

87845990400 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 87845990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199094377680).

87845990400 is an abundant number, since it is smaller than the sum of its proper divisors (310342764960).

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

87845990400 is a wasteful number, since it uses less digits than its factorization.

87845990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 87845990400 in words is "eighty-seven billion, eight hundred forty-five million, nine hundred ninety thousand, four hundred".