10475187840 has 768 divisors, whose sum is σ = 42737673600. Its totient is φ = 2415329280.

The previous prime is 10475187761. The next prime is 10475187871. The reversal of 10475187840 is 4878157401.

10475187840 is a `hidden beast` number, since 10 + 47 + 518 + 7 + 84 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 49645335 + ... + 49645545.

Almost surely, 2^10475187840 is an apocalyptic number.

10475187840 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 10475187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21368836800).

10475187840 is an abundant number, since it is smaller than the sum of its proper divisors (32262485760).

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

10475187840 is a wasteful number, since it uses less digits than its factorization.

10475187840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 10475187840 in words is "ten billion, four hundred seventy-five million, one hundred eighty-seven thousand, eight hundred forty".