10774685090304 has 800 divisors, whose sum is σ = 35263348572672. Its totient is φ = 3260694528000.

The previous prime is 10774685090303. The next prime is 10774685090317. The reversal of 10774685090304 is 40309058647701.

10774685090304 is a `hidden beast` number, since 1 + 0 + 7 + 74 + 68 + 509 + 0 + 3 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10774685090303) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9201267639 + ... + 9201268809.

Almost surely, 2^{10774685090304} 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 10774685090304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17631674286336).

10774685090304 is an abundant number, since it is smaller than the sum of its proper divisors (24488663482368).

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

10774685090304 is a wasteful number, since it uses less digits than its factorization.

10774685090304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 10774685090304 in words is "ten trillion, seven hundred seventy-four billion, six hundred eighty-five million, ninety thousand, three hundred four".