87502833792 has 512 divisors, whose sum is σ = 290055686400. Its totient is φ = 25744343040.

The previous prime is 87502833749. The next prime is 87502833799. The reversal of 87502833792 is 29733820578.

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

It is not an unprimeable number, because it can be changed into a prime (87502833799) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 276034018 + ... + 276034334.

Almost surely, 2^87502833792 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 87502833792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145027843200).

87502833792 is an abundant number, since it is smaller than the sum of its proper divisors (202552852608).

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

87502833792 is a wasteful number, since it uses less digits than its factorization.

87502833792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 87502833792 in words is "eighty-seven billion, five hundred two million, eight hundred thirty-three thousand, seven hundred ninety-two".