11457283680 has 96 divisors (see below), whose sum is σ = 40100508000. Its totient is φ = 3055274496.

The previous prime is 11457283679. The next prime is 11457283681. The reversal of 11457283680 is 8638275411.

11457283680 is a `hidden beast` number, since 1 + 14 + 572 + 8 + 3 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11457283679) and next prime (11457283681).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11457283681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1321755 + ... + 1330394.

It is an arithmetic number, because the mean of its divisors is an integer number (417713625).

Almost surely, 2^11457283680 is an apocalyptic number.

11457283680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11457283680 is an abundant number, since it is smaller than the sum of its proper divisors (28643224320).

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

11457283680 is a wasteful number, since it uses less digits than its factorization.

11457283680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652173 (or 2652159 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11457283680 in words is "eleven billion, four hundred fifty-seven million, two hundred eighty-three thousand, six hundred eighty".