87163156080 has 1440 divisors, whose sum is σ = 413488177920. Its totient is φ = 16680867840.

The previous prime is 87163156061. The next prime is 87163156123. The reversal of 87163156080 is 8065136178.

87163156080 is a `hidden beast` number, since 8 + 7 + 1 + 6 + 3 + 1 + 560 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 196756339 + ... + 196756781.

It is an arithmetic number, because the mean of its divisors is an integer number (287144568).

Almost surely, 2^87163156080 is an apocalyptic number.

87163156080 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 87163156080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206744088960).

87163156080 is an abundant number, since it is smaller than the sum of its proper divisors (326325021840).

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

87163156080 is a wasteful number, since it uses less digits than its factorization.

87163156080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 87163156080 in words is "eighty-seven billion, one hundred sixty-three million, one hundred fifty-six thousand, eighty".