11940657120 has 360 divisors, whose sum is σ = 49023269064. Its totient is φ = 2729147904.

The previous prime is 11940657119. The next prime is 11940657133. The reversal of 11940657120 is 2175604911.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 625639 + ... + 644441.

Almost surely, 2^11940657120 is an apocalyptic number.

11940657120 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 11940657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24511634532).

11940657120 is an abundant number, since it is smaller than the sum of its proper divisors (37082611944).

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

11940657120 is a wasteful number, since it uses less digits than its factorization.

11940657120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18844 (or 18820 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 11940657120 in words is "eleven billion, nine hundred forty million, six hundred fifty-seven thousand, one hundred twenty".