11990293920 has 480 divisors, whose sum is σ = 46551770496. Its totient is φ = 2882304000.

The previous prime is 11990293883. The next prime is 11990293949. The reversal of 11990293920 is 2939209911.

11990293920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21526282 + ... + 21526838.

Almost surely, 2^11990293920 is an apocalyptic number.

11990293920 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 11990293920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23275885248).

11990293920 is an abundant number, since it is smaller than the sum of its proper divisors (34561476576).

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

11990293920 is a wasteful number, since it uses less digits than its factorization.

11990293920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 11990293920 in words is "eleven billion, nine hundred ninety million, two hundred ninety-three thousand, nine hundred twenty".