87015658057680 has 2560 divisors, whose sum is σ = 341867547648000. Its totient is φ = 18036298874880.

The previous prime is 87015658057639. The next prime is 87015658057681. The reversal of 87015658057680 is 8675085651078.

It is a super-2 number, since 2×87015658057680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87015658057681) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 554239860162 + ... + 554239860318.

It is an arithmetic number, because the mean of its divisors is an integer number (133542010800).

Almost surely, 2^{87015658057680} is an apocalyptic number.

87015658057680 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 87015658057680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170933773824000).

87015658057680 is an abundant number, since it is smaller than the sum of its proper divisors (254851889590320).

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

87015658057680 is a wasteful number, since it uses less digits than its factorization.

87015658057680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 66.

The spelling of 87015658057680 in words is "eighty-seven trillion, fifteen billion, six hundred fifty-eight million, fifty-seven thousand, six hundred eighty".