87040778452992 has 720 divisors, whose sum is σ = 323072952424320. Its totient is φ = 22955735384064.

The previous prime is 87040778452981. The next prime is 87040778452993. The reversal of 87040778452992 is 29925487704078.

87040778452992 is a `hidden beast` number, since 8 + 7 + 0 + 4 + 0 + 7 + 7 + 8 + 4 + 529 + 92 = 666.

It is a super-2 number, since 2×87040778452992² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 87040778452992.

It is not an unprimeable number, because it can be changed into a prime (87040778452993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281633973 + ... + 281942859.

Almost surely, 2^{87040778452992} 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 87040778452992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161536476212160).

87040778452992 is an abundant number, since it is smaller than the sum of its proper divisors (236032173971328).

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

87040778452992 is a wasteful number, since it uses less digits than its factorization.

87040778452992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308951 (or 308912 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 87040778452992 in words is "eighty-seven trillion, forty billion, seven hundred seventy-eight million, four hundred fifty-two thousand, nine hundred ninety-two".