20400977559000 has 256 divisors, whose sum is σ = 67160331763200. Its totient is φ = 5141683008000.

The previous prime is 20400977558989. The next prime is 20400977559013. The reversal of 20400977559000 is 95577900402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23571927 + ... + 24422073.

It is an arithmetic number, because the mean of its divisors is an integer number (262345045950).

Almost surely, 2^{20400977559000} is an apocalyptic number.

20400977559000 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 20400977559000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33580165881600).

20400977559000 is an abundant number, since it is smaller than the sum of its proper divisors (46759354204200).

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

20400977559000 is a wasteful number, since it uses less digits than its factorization.

20400977559000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850611 (or 850597 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The spelling of 20400977559000 in words is "twenty trillion, four hundred billion, nine hundred seventy-seven million, five hundred fifty-nine thousand".