11337553920 has 384 divisors, whose sum is σ = 45230814720. Its totient is φ = 2355363840.

The previous prime is 11337553919. The next prime is 11337553937. The reversal of 11337553920 is 2935573311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2363044 + ... + 2367836.

It is an arithmetic number, because the mean of its divisors is an integer number (117788580).

Almost surely, 2^11337553920 is an apocalyptic number.

11337553920 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 11337553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22615407360).

11337553920 is an abundant number, since it is smaller than the sum of its proper divisors (33893260800).

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

11337553920 is a wasteful number, since it uses less digits than its factorization.

11337553920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 39.

The spelling of 11337553920 in words is "eleven billion, three hundred thirty-seven million, five hundred fifty-three thousand, nine hundred twenty".