11975037480 has 288 divisors, whose sum is σ = 45824032800. Its totient is φ = 2703843072.

The previous prime is 11975037419. The next prime is 11975037497. The reversal of 11975037480 is 8473057911.

11975037480 is a `hidden beast` number, since 1 + 1 + 97 + 50 + 37 + 480 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1460031 + ... + 1468209.

It is an arithmetic number, because the mean of its divisors is an integer number (159111225).

Almost surely, 2^11975037480 is an apocalyptic number.

11975037480 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 11975037480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22912016400).

11975037480 is an abundant number, since it is smaller than the sum of its proper divisors (33848995320).

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

11975037480 is a wasteful number, since it uses less digits than its factorization.

11975037480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8293 (or 8279 counting only the distinct ones).

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

The spelling of 11975037480 in words is "eleven billion, nine hundred seventy-five million, thirty-seven thousand, four hundred eighty".