87457442472 has 320 divisors, whose sum is σ = 265520851200. Its totient is φ = 26808537600.

The previous prime is 87457442411. The next prime is 87457442483. The reversal of 87457442472 is 27424475478.

87457442472 is a `hidden beast` number, since 87 + 4 + 5 + 74 + 424 + 72 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 65905473 + ... + 65906799.

It is an arithmetic number, because the mean of its divisors is an integer number (829752660).

Almost surely, 2^87457442472 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 87457442472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132760425600).

87457442472 is an abundant number, since it is smaller than the sum of its proper divisors (178063408728).

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

87457442472 is a wasteful number, since it uses less digits than its factorization.

87457442472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1505 counting only the distinct ones).

The product of its digits is 14049280, while the sum is 54.

The spelling of 87457442472 in words is "eighty-seven billion, four hundred fifty-seven million, four hundred forty-two thousand, four hundred seventy-two".