87356416800 has 144 divisors (see below), whose sum is σ = 285261867072. Its totient is φ = 23219942400.

The previous prime is 87356416789. The next prime is 87356416883. The reversal of 87356416800 is 861465378.

It is a super-2 number, since 2×87356416800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 87356416800.

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, 687882 + ... + 804918.

It is an arithmetic number, because the mean of its divisors is an integer number (1980985188).

Almost surely, 2^87356416800 is an apocalyptic number.

87356416800 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 87356416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142630933536).

87356416800 is an abundant number, since it is smaller than the sum of its proper divisors (197905450272).

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

87356416800 is a wasteful number, since it uses less digits than its factorization.

87356416800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117371 (or 117358 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 87356416800 in words is "eighty-seven billion, three hundred fifty-six million, four hundred sixteen thousand, eight hundred".