87296622480 has 480 divisors, whose sum is σ = 332336729088. Its totient is φ = 21200486400.

The previous prime is 87296622443. The next prime is 87296622493. The reversal of 87296622480 is 8422669278.

87296622480 is a `hidden beast` number, since 8 + 7 + 2 + 9 + 6 + 622 + 4 + 8 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10240620 + ... + 10249140.

Almost surely, 2^87296622480 is an apocalyptic number.

87296622480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87296622480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166168364544).

87296622480 is an abundant number, since it is smaller than the sum of its proper divisors (245040106608).

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

87296622480 is a wasteful number, since it uses less digits than its factorization.

87296622480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8597 (or 8579 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 87296622480 in words is "eighty-seven billion, two hundred ninety-six million, six hundred twenty-two thousand, four hundred eighty".