20002774383360 has 576 divisors, whose sum is σ = 73409376337920. Its totient is φ = 5152315392000.

The previous prime is 20002774383353. The next prime is 20002774383379. The reversal of 20002774383360 is 6338347720002.

20002774383360 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 277 + 43 + 8 + 336 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×20002774383360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 579588505 + ... + 579623015.

It is an arithmetic number, because the mean of its divisors is an integer number (127446833920).

Almost surely, 2^{20002774383360} is an apocalyptic number.

20002774383360 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 20002774383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36704688168960).

20002774383360 is an abundant number, since it is smaller than the sum of its proper divisors (53406601954560).

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

20002774383360 is a wasteful number, since it uses less digits than its factorization.

20002774383360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35113 (or 35093 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 20002774383360 in words is "twenty trillion, two billion, seven hundred seventy-four million, three hundred eighty-three thousand, three hundred sixty".