21082777290 has 192 divisors, whose sum is σ = 60135229440. Its totient is φ = 5101608960.

The previous prime is 21082777277. The next prime is 21082777301. The reversal of 21082777290 is 9277728012.

21082777290 is a `hidden beast` number, since 210 + 82 + 7 + 77 + 290 = 666.

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 95 ways as a sum of consecutive naturals, for example, 15983251 + ... + 15984569.

It is an arithmetic number, because the mean of its divisors is an integer number (313204320).

Almost surely, 2^21082777290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21082777290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30067614720).

21082777290 is an abundant number, since it is smaller than the sum of its proper divisors (39052452150).

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

21082777290 is a wasteful number, since it uses less digits than its factorization.

21082777290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 21082777290 in words is "twenty-one billion, eighty-two million, seven hundred seventy-seven thousand, two hundred ninety".