10791775121400 has 1728 divisors, whose sum is σ = 47135003479200. Its totient is φ = 2190633984000.

The previous prime is 10791775121399. The next prime is 10791775121443. The reversal of 10791775121400 is 412157719701.

10791775121400 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 177 + 51 + 21 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 16326437070 + ... + 16326437730.

Almost surely, 2^{10791775121400} is an apocalyptic number.

10791775121400 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 10791775121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23567501739600).

10791775121400 is an abundant number, since it is smaller than the sum of its proper divisors (36343228357800).

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

10791775121400 is a wasteful number, since it uses less digits than its factorization.

10791775121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 45.

The spelling of 10791775121400 in words is "ten trillion, seven hundred ninety-one billion, seven hundred seventy-five million, one hundred twenty-one thousand, four hundred".