10575747000 has 768 divisors, whose sum is σ = 45313632000. Its totient is φ = 2164838400.

The previous prime is 10575746947. The next prime is 10575747019. The reversal of 10575747000 is 74757501.

10575747000 is a `hidden beast` number, since 10 + 5 + 7 + 574 + 70 + 0 + 0 = 666.

It is a super-2 number, since 2×10575747000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30302826 + ... + 30303174.

It is an arithmetic number, because the mean of its divisors is an integer number (59002125).

Almost surely, 2^10575747000 is an apocalyptic number.

10575747000 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 10575747000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22656816000).

10575747000 is an abundant number, since it is smaller than the sum of its proper divisors (34737885000).

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

10575747000 is a wasteful number, since it uses less digits than its factorization.

10575747000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The spelling of 10575747000 in words is "ten billion, five hundred seventy-five million, seven hundred forty-seven thousand".