10778316120 has 384 divisors, whose sum is σ = 42947573760. Its totient is φ = 2306810880.

The previous prime is 10778316083. The next prime is 10778316151. The reversal of 10778316120 is 2161387701.

10778316120 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 8 + 31 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1179489 + ... + 1188591.

It is an arithmetic number, because the mean of its divisors is an integer number (111842640).

Almost surely, 2^10778316120 is an apocalyptic number.

10778316120 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 10778316120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21473786880).

10778316120 is an abundant number, since it is smaller than the sum of its proper divisors (32169257640).

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

10778316120 is a wasteful number, since it uses less digits than its factorization.

10778316120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9167 (or 9160 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 10778316120 in words is "ten billion, seven hundred seventy-eight million, three hundred sixteen thousand, one hundred twenty".