11524956480 has 448 divisors, whose sum is σ = 42082882560. Its totient is φ = 2967552000.

The previous prime is 11524956479. The next prime is 11524956511. The reversal of 11524956480 is 8465942511.

11524956480 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 4 + 9 + 564 + 80 = 666.

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 63 ways as a sum of consecutive naturals, for example, 41013940 + ... + 41014220.

Almost surely, 2^11524956480 is an apocalyptic number.

11524956480 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 11524956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21041441280).

11524956480 is an abundant number, since it is smaller than the sum of its proper divisors (30557926080).

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

11524956480 is a wasteful number, since it uses less digits than its factorization.

11524956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11524956480 in words is "eleven billion, five hundred twenty-four million, nine hundred fifty-six thousand, four hundred eighty".