87564610990080 has 1872 divisors, whose sum is σ = 376066586960064. Its totient is φ = 18445259243520.

The previous prime is 87564610990037. The next prime is 87564610990093. The reversal of 87564610990080 is 8009901646578.

87564610990080 is a `hidden beast` number, since 8 + 7 + 5 + 6 + 4 + 610 + 9 + 9 + 0 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×87564610990080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 17233733140 + ... + 17233738220.

It is an arithmetic number, because the mean of its divisors is an integer number (200890270812).

Almost surely, 2^{87564610990080} is an apocalyptic number.

87564610990080 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 87564610990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188033293480032).

87564610990080 is an abundant number, since it is smaller than the sum of its proper divisors (288501975969984).

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

87564610990080 is a wasteful number, since it uses less digits than its factorization.

87564610990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198 (or 5154 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 87564610990080 in words is "eighty-seven trillion, five hundred sixty-four billion, six hundred ten million, nine hundred ninety thousand, eighty".