87893255520 has 576 divisors, whose sum is σ = 356770552320. Its totient is φ = 20044537344.

The previous prime is 87893255503. The next prime is 87893255533. The reversal of 87893255520 is 2555239878.

87893255520 is a `hidden beast` number, since 8 + 7 + 8 + 93 + 25 + 5 + 520 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198404419 + ... + 198404861.

It is an arithmetic number, because the mean of its divisors is an integer number (619393320).

Almost surely, 2^87893255520 is an apocalyptic number.

87893255520 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 87893255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178385276160).

87893255520 is an abundant number, since it is smaller than the sum of its proper divisors (268877296800).

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

87893255520 is an frugal number, since it uses more digits than its factorization.

87893255520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 87893255520 in words is "eighty-seven billion, eight hundred ninety-three million, two hundred fifty-five thousand, five hundred twenty".