87534457920 has 2240 divisors, whose sum is σ = 423804648960. Its totient is φ = 16625958912.

The previous prime is 87534457891. The next prime is 87534457943. The reversal of 87534457920 is 2975443578.

It is a happy number.

87534457920 is a `hidden beast` number, since 8 + 7 + 5 + 3 + 44 + 579 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1483634851 + ... + 1483634909.

It is an arithmetic number, because the mean of its divisors is an integer number (189198504).

Almost surely, 2^87534457920 is an apocalyptic number.

87534457920 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 87534457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211902324480).

87534457920 is an abundant number, since it is smaller than the sum of its proper divisors (336270191040).

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

87534457920 is a wasteful number, since it uses less digits than its factorization.

87534457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 87534457920 in words is "eighty-seven billion, five hundred thirty-four million, four hundred fifty-seven thousand, nine hundred twenty".