20146977081504 has 768 divisors, whose sum is σ = 80607202099200. Its totient is φ = 4737717485568.

The previous prime is 20146977081457. The next prime is 20146977081533. The reversal of 20146977081504 is 40518077964102.

20146977081504 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 69 + 7 + 70 + 8 + 1 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24998889 + ... + 25792215.

It is an arithmetic number, because the mean of its divisors is an integer number (104957294400).

Almost surely, 2^{20146977081504} is an apocalyptic number.

20146977081504 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 20146977081504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40303601049600).

20146977081504 is an abundant number, since it is smaller than the sum of its proper divisors (60460225017696).

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

20146977081504 is a wasteful number, since it uses less digits than its factorization.

20146977081504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793402 (or 793388 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 20146977081504 in words is "twenty trillion, one hundred forty-six billion, nine hundred seventy-seven million, eighty-one thousand, five hundred four".