87971424952320 has 1120 divisors, whose sum is σ = 388154685175488. Its totient is φ = 18560940244992.

The previous prime is 87971424952261. The next prime is 87971424952357. The reversal of 87971424952320 is 2325942417978.

87971424952320 is a `hidden beast` number, since 8 + 7 + 9 + 7 + 1 + 42 + 49 + 523 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 301770472 + ... + 302061848.

Almost surely, 2^{87971424952320} is an apocalyptic number.

87971424952320 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 87971424952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194077342587744).

87971424952320 is an abundant number, since it is smaller than the sum of its proper divisors (300183260223168).

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

87971424952320 is a wasteful number, since it uses less digits than its factorization.

87971424952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291440 (or 291407 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 87971424952320 in words is "eighty-seven trillion, nine hundred seventy-one billion, four hundred twenty-four million, nine hundred fifty-two thousand, three hundred twenty".