20348558272800 has 2880 divisors, whose sum is σ = 84525946243200. Its totient is φ = 4740548198400.

The previous prime is 20348558272729. The next prime is 20348558272831. The reversal of 20348558272800 is 827285584302.

20348558272800 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 8 + 558 + 2 + 7 + 2 + 80 + 0 = 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 479 ways as a sum of consecutive naturals, for example, 96438664695 + ... + 96438664905.

It is an arithmetic number, because the mean of its divisors is an integer number (29349286890).

Almost surely, 2^{20348558272800} is an apocalyptic number.

20348558272800 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 20348558272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42262973121600).

20348558272800 is an abundant number, since it is smaller than the sum of its proper divisors (64177387970400).

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

20348558272800 is a wasteful number, since it uses less digits than its factorization.

20348558272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 20348558272800 in words is "twenty trillion, three hundred forty-eight billion, five hundred fifty-eight million, two hundred seventy-two thousand, eight hundred".