19902791960352 has 768 divisors, whose sum is σ = 71745077376000. Its totient is φ = 5304397529088.

The previous prime is 19902791960347. The next prime is 19902791960371. The reversal of 19902791960352 is 25306919720991.

19902791960352 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 2 + 7 + 9 + 19 + 603 + 5 + 2 = 666.

It is a super-2 number, since 2×19902791960352² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19902791960352.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 941064274 + ... + 941085422.

It is an arithmetic number, because the mean of its divisors is an integer number (93418069500).

Almost surely, 2^{19902791960352} is an apocalyptic number.

19902791960352 is a gapful number since it is divisible by the number (12) 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 19902791960352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35872538688000).

19902791960352 is an abundant number, since it is smaller than the sum of its proper divisors (51842285415648).

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

19902791960352 is a wasteful number, since it uses less digits than its factorization.

19902791960352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21317 (or 21291 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 63.

The spelling of 19902791960352 in words is "nineteen trillion, nine hundred two billion, seven hundred ninety-one million, nine hundred sixty thousand, three hundred fifty-two".