20134074067800 has 384 divisors, whose sum is σ = 78139823731200. Its totient is φ = 4166341632000.

The previous prime is 20134074067753. The next prime is 20134074067831. The reversal of 20134074067800 is 876047043102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10230046 + ... + 12038354.

It is an arithmetic number, because the mean of its divisors is an integer number (203489124300).

Almost surely, 2^{20134074067800} is an apocalyptic number.

20134074067800 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 20134074067800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39069911865600).

20134074067800 is an abundant number, since it is smaller than the sum of its proper divisors (58005749663400).

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

20134074067800 is a wasteful number, since it uses less digits than its factorization.

20134074067800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808587 (or 1808578 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 20134074067800 in words is "twenty trillion, one hundred thirty-four billion, seventy-four million, sixty-seven thousand, eight hundred".