87162405910272 has 720 divisors, whose sum is σ = 324375152758272. Its totient is φ = 22615773143040.

The previous prime is 87162405910267. The next prime is 87162405910297. The reversal of 87162405910272 is 27201950426178.

87162405910272 is a `hidden beast` number, since 8 + 7 + 1 + 6 + 2 + 40 + 591 + 0 + 2 + 7 + 2 = 666.

It is a super-2 number, since 2×87162405910272² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1543953598 + ... + 1544010050.

Almost surely, 2^{87162405910272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87162405910272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162187576379136).

87162405910272 is an abundant number, since it is smaller than the sum of its proper divisors (237212746848000).

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

87162405910272 is a wasteful number, since it uses less digits than its factorization.

87162405910272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57466 (or 57443 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 87162405910272 in words is "eighty-seven trillion, one hundred sixty-two billion, four hundred five million, nine hundred ten thousand, two hundred seventy-two".