87978515264640 has 5760 divisors, whose sum is σ = 446406451223040. Its totient is φ = 16303472640000.

The previous prime is 87978515264597. The next prime is 87978515264663. The reversal of 87978515264640 is 4646251587978.

87978515264640 is a `hidden beast` number, since 8 + 7 + 9 + 7 + 8 + 5 + 152 + 6 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

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 719 ways as a sum of consecutive naturals, for example, 146386880340 + ... + 146386880940.

It is an arithmetic number, because the mean of its divisors is an integer number (77501120004).

Almost surely, 2^{87978515264640} is an apocalyptic number.

87978515264640 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 87978515264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223203225611520).

87978515264640 is an abundant number, since it is smaller than the sum of its proper divisors (358427935958400).

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

87978515264640 is a wasteful number, since it uses less digits than its factorization.

87978515264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 87978515264640 in words is "eighty-seven trillion, nine hundred seventy-eight billion, five hundred fifteen million, two hundred sixty-four thousand, six hundred forty".