10774990769400 has 1536 divisors, whose sum is σ = 45572683161600. Its totient is φ = 2332986624000.

The previous prime is 10774990769383. The next prime is 10774990769423. The reversal of 10774990769400 is 496709947701.

10774990769400 is a `hidden beast` number, since 1 + 0 + 7 + 74 + 9 + 90 + 76 + 9 + 400 = 666.

It is a super-2 number, since 2×10774990769400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1938991422 + ... + 1938996978.

It is an arithmetic number, because the mean of its divisors is an integer number (29669715600).

Almost surely, 2^{10774990769400} is an apocalyptic number.

10774990769400 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 10774990769400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22786341580800).

10774990769400 is an abundant number, since it is smaller than the sum of its proper divisors (34797692392200).

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

10774990769400 is a wasteful number, since it uses less digits than its factorization.

10774990769400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5649 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 10774990769400 in words is "ten trillion, seven hundred seventy-four billion, nine hundred ninety million, seven hundred sixty-nine thousand, four hundred".