19956484800 has 378 divisors, whose sum is σ = 82513394028. Its totient is φ = 4561320960.

The previous prime is 19956484799. The next prime is 19956484811. The reversal of 19956484800 is 848465991.

19956484800 is a `hidden beast` number, since 19 + 95 + 64 + 8 + 480 + 0 = 666.

It is a super-2 number, since 2×19956484800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 691459 + ... + 719741.

Almost surely, 2^19956484800 is an apocalyptic number.

19956484800 is a gapful number since it is divisible by the number (10) 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 19956484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41256697014).

19956484800 is an abundant number, since it is smaller than the sum of its proper divisors (62556909228).

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

19956484800 is a wasteful number, since it uses less digits than its factorization.

19956484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28325 (or 28300 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 19956484800 in words is "nineteen billion, nine hundred fifty-six million, four hundred eighty-four thousand, eight hundred".