20578734042000 has 320 divisors, whose sum is σ = 67126300570368. Its totient is φ = 5423308800000.

The previous prime is 20578734041891. The next prime is 20578734042019. The reversal of 20578734042000 is 24043787502.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331450960 + ... + 331513040.

Almost surely, 2^{20578734042000} is an apocalyptic number.

20578734042000 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 20578734042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33563150285184).

20578734042000 is an abundant number, since it is smaller than the sum of its proper divisors (46547566528368).

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

20578734042000 is a wasteful number, since it uses less digits than its factorization.

20578734042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62755 (or 62739 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 20578734042000 in words is "twenty trillion, five hundred seventy-eight billion, seven hundred thirty-four million, forty-two thousand".