19957741056 has 960 divisors, whose sum is σ = 74457377280. Its totient is φ = 5060689920.

The previous prime is 19957741021. The next prime is 19957741057. The reversal of 19957741056 is 65014775991.

19957741056 is a `hidden beast` number, since 1 + 9 + 9 + 577 + 4 + 10 + 56 = 666.

It is a super-2 number, since 2×19957741056² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19957740993 and 19957741011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19957741057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 376561126 + ... + 376561178.

It is an arithmetic number, because the mean of its divisors is an integer number (77559768).

Almost surely, 2^19957741056 is an apocalyptic number.

19957741056 is a gapful number since it is divisible by the number (16) 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 19957741056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37228688640).

19957741056 is an abundant number, since it is smaller than the sum of its proper divisors (54499636224).

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

19957741056 is a wasteful number, since it uses less digits than its factorization.

19957741056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 19957741056 in words is "nineteen billion, nine hundred fifty-seven million, seven hundred forty-one thousand, fifty-six".