20374293139200 has 6480 divisors, whose sum is σ = 105724243215360. Its totient is φ = 3804143616000.

The previous prime is 20374293139159. The next prime is 20374293139231. The reversal of 20374293139200 is 293139247302.

20374293139200 is a `hidden beast` number, since 2 + 0 + 3 + 7 + 429 + 3 + 13 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a super-2 number, since 2×20374293139200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 257902444761 + ... + 257902444839.

It is an arithmetic number, because the mean of its divisors is an integer number (16315469632).

Almost surely, 2^{20374293139200} is an apocalyptic number.

20374293139200 is a gapful number since it is divisible by the number (20) 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 20374293139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52862121607680).

20374293139200 is an abundant number, since it is smaller than the sum of its proper divisors (85349950076160).

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

20374293139200 is a wasteful number, since it uses less digits than its factorization.

20374293139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 20374293139200 in words is "twenty trillion, three hundred seventy-four billion, two hundred ninety-three million, one hundred thirty-nine thousand, two hundred".