87925893120 has 768 divisors, whose sum is σ = 356638464000. Its totient is φ = 20356005888.

The previous prime is 87925893059. The next prime is 87925893193. The reversal of 87925893120 is 2139852978.

87925893120 is a `hidden beast` number, since 8 + 7 + 9 + 2 + 589 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61101361 + ... + 61102799.

It is an arithmetic number, because the mean of its divisors is an integer number (464373000).

Almost surely, 2^87925893120 is an apocalyptic number.

87925893120 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 87925893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178319232000).

87925893120 is an abundant number, since it is smaller than the sum of its proper divisors (268712570880).

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

87925893120 is a wasteful number, since it uses less digits than its factorization.

87925893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 87925893120 in words is "eighty-seven billion, nine hundred twenty-five million, eight hundred ninety-three thousand, one hundred twenty".