20035779456 has 256 divisors, whose sum is σ = 66540165120. Its totient is φ = 5189376000.

The previous prime is 20035779451. The next prime is 20035779457. The reversal of 20035779456 is 65497753002.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20035779451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13807531 + ... + 13808981.

It is an arithmetic number, because the mean of its divisors is an integer number (259922520).

Almost surely, 2^20035779456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20035779456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33270082560).

20035779456 is an abundant number, since it is smaller than the sum of its proper divisors (46504385664).

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

20035779456 is a wasteful number, since it uses less digits than its factorization.

20035779456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 20035779456 in words is "twenty billion, thirty-five million, seven hundred seventy-nine thousand, four hundred fifty-six".