87142957056 has 352 divisors, whose sum is σ = 275146276800. Its totient is φ = 27518828544.

The previous prime is 87142957051. The next prime is 87142957067. The reversal of 87142957056 is 65075924178.

87142957056 is a `hidden beast` number, since 8 + 7 + 14 + 2 + 9 + 570 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 87142956993 and 87142957011.

It is not an unprimeable number, because it can be changed into a prime (87142957051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4586471415 + ... + 4586471433.

Almost surely, 2^87142957056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87142957056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137573138400).

87142957056 is an abundant number, since it is smaller than the sum of its proper divisors (188003319744).

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

87142957056 is an frugal number, since it uses more digits than its factorization.

87142957056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 87142957056 in words is "eighty-seven billion, one hundred forty-two million, nine hundred fifty-seven thousand, fifty-six".