20162774016 has 990 divisors, whose sum is σ = 78864036174. Its totient is φ = 5109350400.

The previous prime is 20162773997. The next prime is 20162774029. The reversal of 20162774016 is 61047726102.

20162774016 = 253³ + 254³ + ... + 539³.

20162774016 is a `hidden beast` number, since 20 + 1 + 627 + 7 + 4 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12294374400 + 7868399616 = 110880^2 + 88704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 491774956 + ... + 491774996.

Almost surely, 2^20162774016 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 20162774016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39432018087).

20162774016 is an abundant number, since it is smaller than the sum of its proper divisors (58701262158).

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

20162774016 is a wasteful number, since it uses less digits than its factorization.

20162774016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 20162774016 in words is "twenty billion, one hundred sixty-two million, seven hundred seventy-four thousand, sixteen".