11953932480 has 224 divisors, whose sum is σ = 48195463680. Its totient is φ = 2732313600.

The previous prime is 11953932457. The next prime is 11953932493. The reversal of 11953932480 is 8423935911.

It is a happy number.

11953932480 is a `hidden beast` number, since 1 + 1 + 9 + 539 + 32 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

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, 38346 + ... + 159305.

It is an arithmetic number, because the mean of its divisors is an integer number (215158320).

Almost surely, 2^11953932480 is an apocalyptic number.

11953932480 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 11953932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24097731840).

11953932480 is an abundant number, since it is smaller than the sum of its proper divisors (36241531200).

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

11953932480 is a wasteful number, since it uses less digits than its factorization.

11953932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197684 (or 197668 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11953932480 in words is "eleven billion, nine hundred fifty-three million, nine hundred thirty-two thousand, four hundred eighty".