19949976621432 has 768 divisors, whose sum is σ = 68618781504000. Its totient is φ = 5348367636480.

The previous prime is 19949976621413. The next prime is 19949976621433. The reversal of 19949976621432 is 23412667994991.

It is a happy number.

19949976621432 is a `hidden beast` number, since 1 + 9 + 9 + 49 + 97 + 6 + 62 + 1 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19949976621433) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 689127694 + ... + 689156642.

It is an arithmetic number, because the mean of its divisors is an integer number (89347371750).

Almost surely, 2^{19949976621432} is an apocalyptic number.

19949976621432 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 19949976621432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34309390752000).

19949976621432 is an abundant number, since it is smaller than the sum of its proper divisors (48668804882568).

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

19949976621432 is a wasteful number, since it uses less digits than its factorization.

19949976621432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29098 (or 29082 counting only the distinct ones).

The product of its digits is 317447424, while the sum is 72.

The spelling of 19949976621432 in words is "nineteen trillion, nine hundred forty-nine billion, nine hundred seventy-six million, six hundred twenty-one thousand, four hundred thirty-two".