872998124544000 has 10080 divisors, whose sum is σ = 4335394417466112. Its totient is φ = 173903708160000.

The previous prime is 872998124543921. The next prime is 872998124544001. The reversal of 872998124544000 is 445421899278.

872998124544000 is a `hidden beast` number, since 8 + 7 + 2 + 9 + 9 + 81 + 2 + 4 + 544 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10080).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872998124544001) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 21292637183980 + ... + 21292637184020.

Almost surely, 2^{872998124544000} is an apocalyptic number.

872998124544000 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 872998124544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167697208733056).

872998124544000 is an abundant number, since it is smaller than the sum of its proper divisors (3462396292922112).

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

872998124544000 is a wasteful number, since it uses less digits than its factorization.

872998124544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 872998124544000 in words is "eight hundred seventy-two trillion, nine hundred ninety-eight billion, one hundred twenty-four million, five hundred forty-four thousand".