87516979200 has 2016 divisors, whose sum is σ = 416862158400. Its totient is φ = 17836277760.

The previous prime is 87516979171. The next prime is 87516979211. The reversal of 87516979200 is 297961578.

It is a tau number, because it is divible by the number of its divisors (2016).

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 143 ways as a sum of consecutive naturals, for example, 4606156791 + ... + 4606156809.

Almost surely, 2^87516979200 is an apocalyptic number.

87516979200 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 87516979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208431079200).

87516979200 is an abundant number, since it is smaller than the sum of its proper divisors (329345179200).

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

87516979200 is a wasteful number, since it uses less digits than its factorization.

87516979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 87516979200 in words is "eighty-seven billion, five hundred sixteen million, nine hundred seventy-nine thousand, two hundred".