11540456820 has 36 divisors (see below), whose sum is σ = 35006052900. Its totient is φ = 3077455104.

The previous prime is 11540456801. The next prime is 11540456861. The reversal of 11540456820 is 2865404511.

It is a happy number.

11540456820 is a `hidden beast` number, since 11 + 540 + 45 + 68 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9186072336 + 2354384484 = 95844^2 + 48522^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×11540456820² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32056645 + ... + 32057004.

Almost surely, 2^11540456820 is an apocalyptic number.

11540456820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11540456820 is an abundant number, since it is smaller than the sum of its proper divisors (23465596080).

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

11540456820 is a wasteful number, since it uses less digits than its factorization.

11540456820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64113664 (or 64113659 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 11540456820 in words is "eleven billion, five hundred forty million, four hundred fifty-six thousand, eight hundred twenty".