84572125957152 has 768 divisors, whose sum is σ = 271953350000640. Its totient is φ = 25453522944000.

The previous prime is 84572125957147. The next prime is 84572125957217. The reversal of 84572125957152 is 25175952127548.

84572125957152 is a `hidden beast` number, since 8 + 4 + 5 + 7 + 2 + 1 + 2 + 5 + 9 + 571 + 52 = 666.

It is a super-2 number, since 2×84572125957152² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84572125957152.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44209160548 + ... + 44209162460.

It is an arithmetic number, because the mean of its divisors is an integer number (354105924480).

Almost surely, 2^{84572125957152} 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 84572125957152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135976675000320).

84572125957152 is an abundant number, since it is smaller than the sum of its proper divisors (187381224043488).

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

84572125957152 is a wasteful number, since it uses less digits than its factorization.

84572125957152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2760 counting only the distinct ones).

The product of its digits is 70560000, while the sum is 63.

The spelling of 84572125957152 in words is "eighty-four trillion, five hundred seventy-two billion, one hundred twenty-five million, nine hundred fifty-seven thousand, one hundred fifty-two".