87462139564800 has 4320 divisors, whose sum is σ = 448287278444544. Its totient is φ = 16231809024000.

The previous prime is 87462139564739. The next prime is 87462139564903. The reversal of 87462139564800 is 846593126478.

87462139564800 is a `hidden beast` number, since 8 + 7 + 4 + 62 + 1 + 3 + 9 + 564 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 16086467682 + ... + 16086473118.

It is a 1-persistent number, because it is pandigital, but 2⋅87462139564800 = 174924279129600 is not.

Almost surely, 2^{87462139564800} is an apocalyptic number.

87462139564800 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 87462139564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224143639222272).

87462139564800 is an abundant number, since it is smaller than the sum of its proper divisors (360825138879744).

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

87462139564800 is a wasteful number, since it uses less digits than its factorization.

87462139564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 87462139564800 in words is "eighty-seven trillion, four hundred sixty-two billion, one hundred thirty-nine million, five hundred sixty-four thousand, eight hundred".