87493455360 has 480 divisors, whose sum is σ = 316826864640. Its totient is φ = 22292250624.

The previous prime is 87493455311. The next prime is 87493455383. The reversal of 87493455360 is 6355439478.

87493455360 is a `hidden beast` number, since 8 + 7 + 493 + 45 + 53 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 87493455297 and 87493455306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46562901 + ... + 46564779.

It is an arithmetic number, because the mean of its divisors is an integer number (660055968).

Almost surely, 2^87493455360 is an apocalyptic number.

87493455360 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 87493455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158413432320).

87493455360 is an abundant number, since it is smaller than the sum of its proper divisors (229333409280).

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

87493455360 is a wasteful number, since it uses less digits than its factorization.

87493455360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 87493455360 in words is "eighty-seven billion, four hundred ninety-three million, four hundred fifty-five thousand, three hundred sixty".