10357485840 has 120 divisors (see below), whose sum is σ = 37459607640. Its totient is φ = 2549532672.

The previous prime is 10357485839. The next prime is 10357485863. The reversal of 10357485840 is 4858475301.

10357485840 is a `hidden beast` number, since 10 + 3 + 57 + 4 + 8 + 584 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1148396544 + 9209089296 = 33888^2 + 95964^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×10357485840³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543925 + ... + 562644.

It is an arithmetic number, because the mean of its divisors is an integer number (312163397).

Almost surely, 2^10357485840 is an apocalyptic number.

10357485840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10357485840 is an abundant number, since it is smaller than the sum of its proper divisors (27102121800).

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

10357485840 is a wasteful number, since it uses less digits than its factorization.

10357485840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106601 (or 1106592 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 10357485840 in words is "ten billion, three hundred fifty-seven million, four hundred eighty-five thousand, eight hundred forty".