11537201329920 has 2880 divisors, whose sum is σ = 51968906035200. Its totient is φ = 2383818522624.

The previous prime is 11537201329817. The next prime is 11537201329931. The reversal of 11537201329920 is 2992310273511.

11537201329920 is a `hidden beast` number, since 1 + 1 + 5 + 37 + 201 + 329 + 92 + 0 = 666.

11537201329920 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 (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 57975885981 + ... + 57975886179.

It is an arithmetic number, because the mean of its divisors is an integer number (18044759040).

Almost surely, 2^{11537201329920} is an apocalyptic number.

11537201329920 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 11537201329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25984453017600).

11537201329920 is an abundant number, since it is smaller than the sum of its proper divisors (40431704705280).

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

11537201329920 is a wasteful number, since it uses less digits than its factorization.

11537201329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 11537201329920 in words is "eleven trillion, five hundred thirty-seven billion, two hundred one million, three hundred twenty-nine thousand, nine hundred twenty".