87479010400 has 144 divisors (see below), whose sum is σ = 226313015040. Its totient is φ = 32960614400.

The previous prime is 87479010343. The next prime is 87479010419. The reversal of 87479010400 is 401097478.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 905217 + ... + 997183.

It is an arithmetic number, because the mean of its divisors is an integer number (1571618160).

Almost surely, 2^87479010400 is an apocalyptic number.

87479010400 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 87479010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113156507520).

87479010400 is an abundant number, since it is smaller than the sum of its proper divisors (138834004640).

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

87479010400 is a wasteful number, since it uses less digits than its factorization.

87479010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92057 (or 92044 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 87479010400 in words is "eighty-seven billion, four hundred seventy-nine million, ten thousand, four hundred".