872495713152 has 1152 divisors, whose sum is σ = 3218445135360. Its totient is φ = 221753106432.

The previous prime is 872495713147. The next prime is 872495713157. The reversal of 872495713152 is 251317594278.

872495713152 is a `hidden beast` number, since 8 + 7 + 2 + 495 + 71 + 31 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (872495713147) and next prime (872495713157).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×872495713152² (a number of 25 digits) contains 22 as substring.

Its product of digits (4233600) is a multiple of the sum of its prime divisors (294).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872495713157) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5557297458 + ... + 5557297614.

It is an arithmetic number, because the mean of its divisors is an integer number (2793789180).

Almost surely, 2^872495713152 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 872495713152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609222567680).

872495713152 is an abundant number, since it is smaller than the sum of its proper divisors (2345949422208).

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

872495713152 is a wasteful number, since it uses less digits than its factorization.

872495713152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 294 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 872495713152 in words is "eight hundred seventy-two billion, four hundred ninety-five million, seven hundred thirteen thousand, one hundred fifty-two".