87900923727360 has 1920 divisors, whose sum is σ = 333121103884800. Its totient is φ = 21954865397760.

The previous prime is 87900923727341. The next prime is 87900923727443. The reversal of 87900923727360 is 6372732900978.

87900923727360 is a `hidden beast` number, since 8 + 79 + 0 + 0 + 9 + 237 + 273 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×87900923727360² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 539269470639 + ... + 539269470801.

It is an arithmetic number, because the mean of its divisors is an integer number (173500574940).

Almost surely, 2^{87900923727360} is an apocalyptic number.

87900923727360 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 87900923727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166560551942400).

87900923727360 is an abundant number, since it is smaller than the sum of its proper divisors (245220180157440).

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

87900923727360 is a wasteful number, since it uses less digits than its factorization.

87900923727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 87900923727360 in words is "eighty-seven trillion, nine hundred billion, nine hundred twenty-three million, seven hundred twenty-seven thousand, three hundred sixty".