87300269521920 has 2112 divisors, whose sum is σ = 384591464135424. Its totient is φ = 17820989521920.

The previous prime is 87300269521919. The next prime is 87300269521931. The reversal of 87300269521920 is 2912596200378.

87300269521920 is a `hidden beast` number, since 8 + 7 + 3 + 0 + 0 + 26 + 9 + 521 + 92 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16223797630 + ... + 16223803010.

Almost surely, 2^{87300269521920} is an apocalyptic number.

87300269521920 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 87300269521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192295732067712).

87300269521920 is an abundant number, since it is smaller than the sum of its proper divisors (297291194613504).

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

87300269521920 is a wasteful number, since it uses less digits than its factorization.

87300269521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5558 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 87300269521920 in words is "eighty-seven trillion, three hundred billion, two hundred sixty-nine million, five hundred twenty-one thousand, nine hundred twenty".