10794378816 has 441 divisors, whose sum is σ = 35741195091. Its totient is φ = 3231581184.

The previous prime is 10794378809. The next prime is 10794378821. The reversal of 10794378816 is 61887349701.

The square root of 10794378816 is 103896.

It is a perfect power (a square), and thus also a powerful number.

10794378816 is a `hidden beast` number, since 107 + 94 + 378 + 81 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44836416 + 10749542400 = 6696^2 + 103680^2 .

It is a super-2 number, since 2×10794378816² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 291739950 + ... + 291739986.

Almost surely, 2^10794378816 is an apocalyptic number.

10794378816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10794378816 is the 103896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10794378816

10794378816 is an abundant number, since it is smaller than the sum of its proper divisors (24946816275).

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

10794378816 is an frugal number, since it uses more digits than its factorization.

10794378816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 10794378816 in words is "ten billion, seven hundred ninety-four million, three hundred seventy-eight thousand, eight hundred sixteen".