10791014400 has 390 divisors, whose sum is σ = 40003222182. Its totient is φ = 2875392000.

The previous prime is 10791014371. The next prime is 10791014441. The reversal of 10791014400 is 441019701.

It can be written as a sum of positive squares in 3 ways, for example, as 160579584 + 10630434816 = 12672^2 + 103104^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8293750 + ... + 8295050.

Almost surely, 2^10791014400 is an apocalyptic number.

10791014400 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 10791014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20001611091).

10791014400 is an abundant number, since it is smaller than the sum of its proper divisors (29212207782).

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

10791014400 is an equidigital number, since it uses as much as digits as its factorization.

10791014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 10791014400 in words is "ten billion, seven hundred ninety-one million, fourteen thousand, four hundred".