10748080512 has 384 divisors, whose sum is σ = 36385440000. Its totient is φ = 3130804224.

The previous prime is 10748080477. The next prime is 10748080513. The reversal of 10748080512 is 21508084701.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×10748080512³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10748080513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7681989 + ... + 7683387.

It is an arithmetic number, because the mean of its divisors is an integer number (94753750).

Almost surely, 2^10748080512 is an apocalyptic number.

10748080512 is a gapful number since it is divisible by the number (12) 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 10748080512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18192720000).

10748080512 is an abundant number, since it is smaller than the sum of its proper divisors (25637359488).

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

10748080512 is a wasteful number, since it uses less digits than its factorization.

10748080512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 10748080512 in words is "ten billion, seven hundred forty-eight million, eighty thousand, five hundred twelve".