10748954880 has 576 divisors, whose sum is σ = 40186675200. Its totient is φ = 2717245440.

The previous prime is 10748954869. The next prime is 10748954891. The reversal of 10748954880 is 8845984701.

10748954880 is a `hidden beast` number, since 1 + 0 + 74 + 8 + 95 + 488 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10748954869) and next prime (10748954891).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84637377 + ... + 84637503.

Almost surely, 2^10748954880 is an apocalyptic number.

10748954880 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 10748954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20093337600).

10748954880 is an abundant number, since it is smaller than the sum of its proper divisors (29437720320).

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

10748954880 is a wasteful number, since it uses less digits than its factorization.

10748954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 10748954880 in words is "ten billion, seven hundred forty-eight million, nine hundred fifty-four thousand, eight hundred eighty".