20079737210400 has 1152 divisors, whose sum is σ = 79096729485312. Its totient is φ = 4327464960000.

The previous prime is 20079737210321. The next prime is 20079737210413. The reversal of 20079737210400 is 401273797002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11667481540 + ... + 11667483260.

It is an arithmetic number, because the mean of its divisors is an integer number (68660355456).

Almost surely, 2^{20079737210400} is an apocalyptic number.

20079737210400 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 20079737210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39548364742656).

20079737210400 is an abundant number, since it is smaller than the sum of its proper divisors (59016992274912).

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

20079737210400 is a wasteful number, since it uses less digits than its factorization.

20079737210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 20079737210400 in words is "twenty trillion, seventy-nine billion, seven hundred thirty-seven million, two hundred ten thousand, four hundred".