1906980264900 has 144 divisors (see below), whose sum is σ = 6491211410880. Its totient is φ = 478614643200.

The previous prime is 1906980264887. The next prime is 1906980265061. The reversal of 1906980264900 is 94620896091.

1906980264900 is a `hidden beast` number, since 1 + 90 + 69 + 8 + 0 + 2 + 6 + 490 + 0 = 666.

It is a super-4 number, since 4×1906980264900⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20727306 + ... + 20819105.

It is an arithmetic number, because the mean of its divisors is an integer number (45077857020).

Almost surely, 2^{1906980264900} is an apocalyptic number.

1906980264900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1906980264900 is an abundant number, since it is smaller than the sum of its proper divisors (4584231145980).

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

1906980264900 is a wasteful number, since it uses less digits than its factorization.

1906980264900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41546451 (or 41546438 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1906980264900 in words is "one trillion, nine hundred six billion, nine hundred eighty million, two hundred sixty-four thousand, nine hundred".