87038020169280 has 336 divisors, whose sum is σ = 321168079552320. Its totient is φ = 22409788520448.

The previous prime is 87038020169257. The next prime is 87038020169393. The reversal of 87038020169280 is 8296102083078.

It is a happy number.

87038020169280 is a `hidden beast` number, since 8 + 7 + 0 + 380 + 20 + 169 + 2 + 80 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17043514 + ... + 21553593.

It is an arithmetic number, because the mean of its divisors is an integer number (955857379620).

Almost surely, 2^{87038020169280} is an apocalyptic number.

87038020169280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87038020169280 is an abundant number, since it is smaller than the sum of its proper divisors (234130059383040).

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

87038020169280 is a wasteful number, since it uses less digits than its factorization.

87038020169280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38597168 (or 38597146 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 87038020169280 in words is "eighty-seven trillion, thirty-eight billion, twenty million, one hundred sixty-nine thousand, two hundred eighty".