10780970904 has 192 divisors, whose sum is σ = 32924586240. Its totient is φ = 3158196480.

The previous prime is 10780970891. The next prime is 10780970917. The reversal of 10780970904 is 40907908701.

It is an interprime number because it is at equal distance from previous prime (10780970891) and next prime (10780970917).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10780970904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4892667 + ... + 4894869.

It is an arithmetic number, because the mean of its divisors is an integer number (171482220).

Almost surely, 2^10780970904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10780970904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16462293120).

10780970904 is an abundant number, since it is smaller than the sum of its proper divisors (22143615336).

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

10780970904 is a wasteful number, since it uses less digits than its factorization.

10780970904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 10780970904 in words is "ten billion, seven hundred eighty million, nine hundred seventy thousand, nine hundred four".