19749629952 has 520 divisors, whose sum is σ = 67157681360. Its totient is φ = 5733089280.

The previous prime is 19749629951. The next prime is 19749629953. The reversal of 19749629952 is 25992694791.

19749629952 is a `hidden beast` number, since 1 + 9 + 7 + 496 + 2 + 99 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (19749629951) and next prime (19749629953).

It is a self number, because there is not a number n which added to its sum of digits gives 19749629952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19749629951) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81948552 + ... + 81948792.

Almost surely, 2^19749629952 is an apocalyptic number.

19749629952 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 19749629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33578840680).

19749629952 is an abundant number, since it is smaller than the sum of its proper divisors (47408051408).

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

19749629952 is a wasteful number, since it uses less digits than its factorization.

19749629952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 278 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The spelling of 19749629952 in words is "nineteen billion, seven hundred forty-nine million, six hundred twenty-nine thousand, nine hundred fifty-two".