10857097440 has 240 divisors, whose sum is σ = 43790658912. Its totient is φ = 2481601536.

The previous prime is 10857097417. The next prime is 10857097441. The reversal of 10857097440 is 4479075801.

It is a happy number.

10857097440 is a `hidden beast` number, since 1 + 0 + 8 + 570 + 9 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (10857097441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30882 + ... + 150558.

Almost surely, 2^10857097440 is an apocalyptic number.

10857097440 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 10857097440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21895329456).

10857097440 is an abundant number, since it is smaller than the sum of its proper divisors (32933561472).

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

10857097440 is a wasteful number, since it uses less digits than its factorization.

10857097440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119711 (or 119694 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10857097440 in words is "ten billion, eight hundred fifty-seven million, ninety-seven thousand, four hundred forty".