872050003968 has 832 divisors, whose sum is σ = 2869969132800. Its totient is φ = 231871610880.

The previous prime is 872050003943. The next prime is 872050003973. The reversal of 872050003968 is 869300050278.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5554458546 + ... + 5554458702.

Almost surely, 2^872050003968 is an apocalyptic number.

872050003968 is a gapful number since it is divisible by the number (88) 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 872050003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434984566400).

872050003968 is an abundant number, since it is smaller than the sum of its proper divisors (1997919128832).

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

872050003968 is a wasteful number, since it uses less digits than its factorization.

872050003968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 872050003968 in words is "eight hundred seventy-two billion, fifty million, three thousand, nine hundred sixty-eight".