87493777920 has 480 divisors, whose sum is σ = 320580374400. Its totient is φ = 21991882752.

The previous prime is 87493777909. The next prime is 87493777979. The reversal of 87493777920 is 2977739478.

87493777920 is a `hidden beast` number, since 8 + 7 + 493 + 77 + 79 + 2 + 0 = 666.

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

It is a super-2 number, since 2×87493777920² (a number of 23 digits) contains 22 as substring.

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, 117757069 + ... + 117757811.

It is an arithmetic number, because the mean of its divisors is an integer number (667875780).

Almost surely, 2^87493777920 is an apocalyptic number.

87493777920 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 87493777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160290187200).

87493777920 is an abundant number, since it is smaller than the sum of its proper divisors (233086596480).

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

87493777920 is a wasteful number, since it uses less digits than its factorization.

87493777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 87493777920 in words is "eighty-seven billion, four hundred ninety-three million, seven hundred seventy-seven thousand, nine hundred twenty".