20795573556144 has 240 divisors, whose sum is σ = 64274705996800. Its totient is φ = 6250998873600.

The previous prime is 20795573556127. The next prime is 20795573556167. The reversal of 20795573556144 is 44165537559702.

20795573556144 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 5 + 5 + 7 + 3 + 5 + 5 + 614 + 4 = 666.

It is a super-2 number, since 2×20795573556144² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3164067 + ... + 7183485.

Almost surely, 2^{20795573556144} is an apocalyptic number.

20795573556144 is a gapful number since it is divisible by the number (24) 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 20795573556144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32137352998400).

20795573556144 is an abundant number, since it is smaller than the sum of its proper divisors (43479132440656).

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

20795573556144 is a wasteful number, since it uses less digits than its factorization.

20795573556144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019544 (or 4019535 counting only the distinct ones).

The product of its (nonzero) digits is 158760000, while the sum is 63.

The spelling of 20795573556144 in words is "twenty trillion, seven hundred ninety-five billion, five hundred seventy-three million, five hundred fifty-six thousand, one hundred forty-four".