87737813280 has 576 divisors, whose sum is σ = 354082555008. Its totient is φ = 20324597760.

The previous prime is 87737813239. The next prime is 87737813299. The reversal of 87737813280 is 8231873778.

It is a happy number.

It is a super-2 number, since 2×87737813280² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8587375 + ... + 8597585.

It is an arithmetic number, because the mean of its divisors is an integer number (614726658).

Almost surely, 2^87737813280 is an apocalyptic number.

87737813280 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 87737813280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177041277504).

87737813280 is an abundant number, since it is smaller than the sum of its proper divisors (266344741728).

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

87737813280 is a wasteful number, since it uses less digits than its factorization.

87737813280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10271 (or 10251 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 87737813280 in words is "eighty-seven billion, seven hundred thirty-seven million, eight hundred thirteen thousand, two hundred eighty".