983672872051896 has 1536 divisors, whose sum is σ = 3224348295168000. Its totient is φ = 268179583795200.

The previous prime is 983672872051867. The next prime is 983672872051921. The reversal of 983672872051896 is 698150278276389.

983672872051896 is a `hidden beast` number, since 9 + 8 + 3 + 6 + 7 + 2 + 8 + 7 + 2 + 0 + 518 + 96 = 666.

It is a super-2 number, since 2×983672872051896² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 465533776536 + ... + 465533778648.

It is an arithmetic number, because the mean of its divisors is an integer number (2099185088000).

Almost surely, 2^{983672872051896} 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 983672872051896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612174147584000).

983672872051896 is an abundant number, since it is smaller than the sum of its proper divisors (2240675423116104).

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

983672872051896 is a wasteful number, since it uses less digits than its factorization.

983672872051896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 81.

The spelling of 983672872051896 in words is "nine hundred eighty-three trillion, six hundred seventy-two billion, eight hundred seventy-two million, fifty-one thousand, eight hundred ninety-six".