13120755648 has 448 divisors, whose sum is σ = 46970606592. Its totient is φ = 3121643520.

The previous prime is 13120755607. The next prime is 13120755707. The reversal of 13120755648 is 84655702131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44780590 + ... + 44780882.

It is an arithmetic number, because the mean of its divisors is an integer number (104845104).

Almost surely, 2^13120755648 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 13120755648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23485303296).

13120755648 is an abundant number, since it is smaller than the sum of its proper divisors (33849850944).

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

13120755648 is a wasteful number, since it uses less digits than its factorization.

13120755648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 13120755648 in words is "thirteen billion, one hundred twenty million, seven hundred fifty-five thousand, six hundred forty-eight".