87256564470000 has 200 divisors, whose sum is σ = 312973139099280. Its totient is φ = 23268417120000.

The previous prime is 87256564469993. The next prime is 87256564470149. The reversal of 87256564470000 is 7446565278.

It is a happy number.

87256564470000 is a `hidden beast` number, since 8 + 7 + 2 + 5 + 6 + 564 + 4 + 70 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×87256564470000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161316231 + ... + 161856230.

Almost surely, 2^{87256564470000} is an apocalyptic number.

87256564470000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87256564470000 is an abundant number, since it is smaller than the sum of its proper divisors (225716574629280).

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

87256564470000 is a wasteful number, since it uses less digits than its factorization.

87256564470000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323172498 (or 323172471 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 87256564470000 in words is "eighty-seven trillion, two hundred fifty-six billion, five hundred sixty-four million, four hundred seventy thousand".