10573827840 has 432 divisors, whose sum is σ = 38194805376. Its totient is φ = 2698444800.

The previous prime is 10573827827. The next prime is 10573827853. The reversal of 10573827840 is 4872837501.

10573827840 is a `hidden beast` number, since 1 + 0 + 573 + 8 + 2 + 78 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10573827827) and next prime (10573827853).

It is a super-2 number, since 2×10573827840² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28811337 + ... + 28811703.

Almost surely, 2^10573827840 is an apocalyptic number.

10573827840 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 10573827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19097402688).

10573827840 is an abundant number, since it is smaller than the sum of its proper divisors (27620977536).

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

10573827840 is a wasteful number, since it uses less digits than its factorization.

10573827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 10573827840 in words is "ten billion, five hundred seventy-three million, eight hundred twenty-seven thousand, eight hundred forty".