87075626400 has 1440 divisors, whose sum is σ = 388613877120. Its totient is φ = 18776862720.

The previous prime is 87075626399. The next prime is 87075626437. The reversal of 87075626400 is 462657078.

87075626400 is a `hidden beast` number, since 87 + 0 + 7 + 562 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1192816764 + ... + 1192816836.

It is an arithmetic number, because the mean of its divisors is an integer number (269870748).

Almost surely, 2^87075626400 is an apocalyptic number.

87075626400 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 87075626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194306938560).

87075626400 is an abundant number, since it is smaller than the sum of its proper divisors (301538250720).

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

87075626400 is a wasteful number, since it uses less digits than its factorization.

87075626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 87075626400 in words is "eighty-seven billion, seventy-five million, six hundred twenty-six thousand, four hundred".