11919757920 has 576 divisors, whose sum is σ = 46896869376. Its totient is φ = 2489978880.

The previous prime is 11919757897. The next prime is 11919758003. The reversal of 11919757920 is 2975791911.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37601602 + ... + 37601918.

It is an arithmetic number, because the mean of its divisors is an integer number (81418176).

Almost surely, 2^11919757920 is an apocalyptic number.

11919757920 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 11919757920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23448434688).

11919757920 is an abundant number, since it is smaller than the sum of its proper divisors (34977111456).

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

11919757920 is a wasteful number, since it uses less digits than its factorization.

11919757920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 51.

The spelling of 11919757920 in words is "eleven billion, nine hundred nineteen million, seven hundred fifty-seven thousand, nine hundred twenty".