19992629966400 has 1512 divisors, whose sum is σ = 88639189776384. Its totient is φ = 4184557977600.

The previous prime is 19992629966339. The next prime is 19992629966429. The reversal of 19992629966400 is 466992629991.

19992629966400 is a `hidden beast` number, since 1 + 9 + 99 + 26 + 29 + 96 + 6 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2163465780 + ... + 2163475020.

Almost surely, 2^{19992629966400} is an apocalyptic number.

19992629966400 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 19992629966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44319594888192).

19992629966400 is an abundant number, since it is smaller than the sum of its proper divisors (68646559809984).

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

19992629966400 is a wasteful number, since it uses less digits than its factorization.

19992629966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9429 (or 9398 counting only the distinct ones).

The product of its (nonzero) digits is 204073344, while the sum is 72.

The spelling of 19992629966400 in words is "nineteen trillion, nine hundred ninety-two billion, six hundred twenty-nine million, nine hundred sixty-six thousand, four hundred".