87939670275072 has 1056 divisors, whose sum is σ = 333577579345920. Its totient is φ = 21617542103040.

The previous prime is 87939670275047. The next prime is 87939670275073. The reversal of 87939670275072 is 27057207693978.

87939670275072 is a `hidden beast` number, since 8 + 7 + 9 + 3 + 96 + 7 + 0 + 27 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87939670275073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16489716118 + ... + 16489721450.

Almost surely, 2^{87939670275072} 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 87939670275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166788789672960).

87939670275072 is an abundant number, since it is smaller than the sum of its proper divisors (245637909070848).

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

87939670275072 is a wasteful number, since it uses less digits than its factorization.

87939670275072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6619 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 560105280, while the sum is 72.

The spelling of 87939670275072 in words is "eighty-seven trillion, nine hundred thirty-nine billion, six hundred seventy million, two hundred seventy-five thousand, seventy-two".