87455788992 has 896 divisors, whose sum is σ = 324443750400. Its totient is φ = 22693478400.

The previous prime is 87455788991. The next prime is 87455788993. The reversal of 87455788992 is 29988755478.

87455788992 is a `hidden beast` number, since 8 + 7 + 45 + 578 + 8 + 9 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (87455788991) and next prime (87455788993).

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 87455788992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87455788991) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 457883617 + ... + 457883807.

It is an arithmetic number, because the mean of its divisors is an integer number (362102400).

Almost surely, 2^87455788992 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 87455788992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162221875200).

87455788992 is an abundant number, since it is smaller than the sum of its proper divisors (236987961408).

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

87455788992 is a wasteful number, since it uses less digits than its factorization.

87455788992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 72.

The spelling of 87455788992 in words is "eighty-seven billion, four hundred fifty-five million, seven hundred eighty-eight thousand, nine hundred ninety-two".