87047409456000 has 4608 divisors, whose sum is σ = 396309270913920. Its totient is φ = 18912028262400.

The previous prime is 87047409455959. The next prime is 87047409456013. The reversal of 87047409456000 is 65490474078.

87047409456000 is a `hidden beast` number, since 8 + 7 + 0 + 4 + 74 + 0 + 9 + 4 + 560 + 0 + 0 = 666.

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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 373594031884 + ... + 373594032116.

Almost surely, 2^{87047409456000} is an apocalyptic number.

87047409456000 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 87047409456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198154635456960).

87047409456000 is an abundant number, since it is smaller than the sum of its proper divisors (309261861457920).

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

87047409456000 is a wasteful number, since it uses less digits than its factorization.

87047409456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 87047409456000 in words is "eighty-seven trillion, forty-seven billion, four hundred nine million, four hundred fifty-six thousand".