11954934720 has 224 divisors, whose sum is σ = 42294657600. Its totient is φ = 3178893312.

The previous prime is 11954934713. The next prime is 11954934721. The reversal of 11954934720 is 2743945911.

11954934720 is a `hidden beast` number, since 1 + 1 + 9 + 549 + 34 + 72 + 0 = 666.

It is a super-2 number, since 2×11954934720² (a number of 21 digits) contains 22 as substring.

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 (11954934721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3359182 + ... + 3362738.

Almost surely, 2^11954934720 is an apocalyptic number.

11954934720 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 11954934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21147328800).

11954934720 is an abundant number, since it is smaller than the sum of its proper divisors (30339722880).

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

11954934720 is a wasteful number, since it uses less digits than its factorization.

11954934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 11954934720 in words is "eleven billion, nine hundred fifty-four million, nine hundred thirty-four thousand, seven hundred twenty".