11627253120 has 384 divisors, whose sum is σ = 43729187040. Its totient is φ = 2619703296.

The previous prime is 11627253107. The next prime is 11627253151. The reversal of 11627253120 is 2135272611.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6866994 + ... + 6868686.

Almost surely, 2^11627253120 is an apocalyptic number.

11627253120 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 11627253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21864593520).

11627253120 is an abundant number, since it is smaller than the sum of its proper divisors (32101933920).

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

11627253120 is a wasteful number, since it uses less digits than its factorization.

11627253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 11627253120 in words is "eleven billion, six hundred twenty-seven million, two hundred fifty-three thousand, one hundred twenty".