11457821560 has 32 divisors (see below), whose sum is σ = 27136947600. Its totient is φ = 4341911040.

The previous prime is 11457821537. The next prime is 11457821567. The reversal of 11457821560 is 6512875411.

It is a super-3 number, since 3×11457821560³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11457821567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7537281 + ... + 7538800.

Almost surely, 2^11457821560 is an apocalyptic number.

11457821560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11457821560 is an abundant number, since it is smaller than the sum of its proper divisors (15679126040).

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

11457821560 is a wasteful number, since it uses less digits than its factorization.

11457821560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15076111 (or 15076107 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The spelling of 11457821560 in words is "eleven billion, four hundred fifty-seven million, eight hundred twenty-one thousand, five hundred sixty".