87995229120 has 448 divisors, whose sum is σ = 315431424000. Its totient is φ = 23090614272.

The previous prime is 87995229107. The next prime is 87995229137. The reversal of 87995229120 is 2192259978.

87995229120 is a `hidden beast` number, since 8 + 7 + 9 + 9 + 522 + 91 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210012271 + ... + 210012689.

It is an arithmetic number, because the mean of its divisors is an integer number (704088000).

Almost surely, 2^87995229120 is an apocalyptic number.

87995229120 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 87995229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157715712000).

87995229120 is an abundant number, since it is smaller than the sum of its proper divisors (227436194880).

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

87995229120 is a wasteful number, since it uses less digits than its factorization.

87995229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 87995229120 in words is "eighty-seven billion, nine hundred ninety-five million, two hundred twenty-nine thousand, one hundred twenty".