11497051440 has 320 divisors, whose sum is σ = 46483691520. Its totient is φ = 2556748800.

The previous prime is 11497051393. The next prime is 11497051451. The reversal of 11497051440 is 4415079411.

11497051440 is a `hidden beast` number, since 1 + 14 + 97 + 0 + 514 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11497051395 and 11497051404.

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, 549165 + ... + 569715.

It is an arithmetic number, because the mean of its divisors is an integer number (145261536).

Almost surely, 2^11497051440 is an apocalyptic number.

11497051440 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 11497051440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23241845760).

11497051440 is an abundant number, since it is smaller than the sum of its proper divisors (34986640080).

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

11497051440 is a wasteful number, since it uses less digits than its factorization.

11497051440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20617 (or 20605 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11497051440 in words is "eleven billion, four hundred ninety-seven million, fifty-one thousand, four hundred forty".