87700008960 has 520 divisors, whose sum is σ = 325401563520. Its totient is φ = 22567845888.

The previous prime is 87700008943. The next prime is 87700008961. The reversal of 87700008960 is 6980000778.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87700008961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48106609 + ... + 48108431.

Almost surely, 2^87700008960 is an apocalyptic number.

87700008960 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 87700008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162700781760).

87700008960 is an abundant number, since it is smaller than the sum of its proper divisors (237701554560).

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

87700008960 is a wasteful number, since it uses less digits than its factorization.

87700008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 87700008960 in words is "eighty-seven billion, seven hundred million, eight thousand, nine hundred sixty".