10756690048 has 128 divisors (see below), whose sum is σ = 24540122880. Its totient is φ = 4658294784.

The previous prime is 10756690019. The next prime is 10756690073. The reversal of 10756690048 is 84009665701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2025765 + ... + 2031067.

It is an arithmetic number, because the mean of its divisors is an integer number (191719710).

Almost surely, 2^10756690048 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 10756690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12270061440).

10756690048 is an abundant number, since it is smaller than the sum of its proper divisors (13783432832).

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

10756690048 is a wasteful number, since it uses less digits than its factorization.

10756690048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5406 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 10756690048 in words is "ten billion, seven hundred fifty-six million, six hundred ninety thousand, forty-eight".