87519192507648 has 432 divisors, whose sum is σ = 275946732052992. Its totient is φ = 26456752128000.

The previous prime is 87519192507611. The next prime is 87519192507661. The reversal of 87519192507648 is 84670529191578.

It is a happy number.

87519192507648 is a `hidden beast` number, since 8 + 7 + 51 + 9 + 1 + 9 + 2 + 507 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35853826108 + ... + 35853828548.

It is an arithmetic number, because the mean of its divisors is an integer number (638765583456).

Almost surely, 2^{87519192507648} is an apocalyptic number.

87519192507648 is a gapful number since it is divisible by the number (88) 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 87519192507648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137973366026496).

87519192507648 is an abundant number, since it is smaller than the sum of its proper divisors (188427539545344).

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

87519192507648 is a wasteful number, since it uses less digits than its factorization.

87519192507648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5305 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 72.

The spelling of 87519192507648 in words is "eighty-seven trillion, five hundred nineteen billion, one hundred ninety-two million, five hundred seven thousand, six hundred forty-eight".