87597779400 has 192 divisors, whose sum is σ = 302091379200. Its totient is φ = 23331098880.

The previous prime is 87597779363. The next prime is 87597779449. The reversal of 87597779400 is 497779578.

87597779400 is a `hidden beast` number, since 8 + 75 + 97 + 7 + 79 + 400 = 666.

It is a super-2 number, since 2×87597779400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4650802 + ... + 4669598.

It is an arithmetic number, because the mean of its divisors is an integer number (1573392600).

Almost surely, 2^87597779400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87597779400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151045689600).

87597779400 is an abundant number, since it is smaller than the sum of its proper divisors (214493599800).

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

87597779400 is a wasteful number, since it uses less digits than its factorization.

87597779400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19685 (or 19670 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 63.

The spelling of 87597779400 in words is "eighty-seven billion, five hundred ninety-seven million, seven hundred seventy-nine thousand, four hundred".