11837952720 has 360 divisors, whose sum is σ = 46274803848. Its totient is φ = 2700656640.

The previous prime is 11837952719. The next prime is 11837952727. The reversal of 11837952720 is 2725973811.

11837952720 is a `hidden beast` number, since 1 + 1 + 8 + 379 + 5 + 272 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 602800704 + 11235152016 = 24552^2 + 105996^2 .

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11837952727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1477044 + ... + 1485036.

Almost surely, 2^11837952720 is an apocalyptic number.

11837952720 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 11837952720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23137401924).

11837952720 is an abundant number, since it is smaller than the sum of its proper divisors (34436851128).

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

11837952720 is a wasteful number, since it uses less digits than its factorization.

11837952720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8051 (or 8031 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11837952720 in words is "eleven billion, eight hundred thirty-seven million, nine hundred fifty-two thousand, seven hundred twenty".