1690057051200 has 672 divisors, whose sum is σ = 7231355616000. Its totient is φ = 375855759360.

The previous prime is 1690057051171. The next prime is 1690057051229. The reversal of 1690057051200 is 21507500961.

1690057051200 is a `hidden beast` number, since 1 + 6 + 90 + 0 + 57 + 0 + 512 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1690057051171) and next prime (1690057051229).

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 11113276 + ... + 11264324.

Almost surely, 2^{1690057051200} is an apocalyptic number.

1690057051200 is a gapful number since it is divisible by the number (10) 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 1690057051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615677808000).

1690057051200 is an abundant number, since it is smaller than the sum of its proper divisors (5541298564800).

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

1690057051200 is a wasteful number, since it uses less digits than its factorization.

1690057051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151124 (or 151103 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 1690057051200 in words is "one trillion, six hundred ninety billion, fifty-seven million, fifty-one thousand, two hundred".