10492575744 has 160 divisors (see below), whose sum is σ = 32010897600. Its totient is φ = 2994733056.

The previous prime is 10492575733. The next prime is 10492575757. The reversal of 10492575744 is 44757529401.

It is a super-2 number, since 2×10492575744² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 10492575693 and 10492575702.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11009572 + ... + 11010524.

It is an arithmetic number, because the mean of its divisors is an integer number (200068110).

Almost surely, 2^10492575744 is an apocalyptic number.

10492575744 is a gapful number since it is divisible by the number (14) 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 10492575744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16005448800).

10492575744 is an abundant number, since it is smaller than the sum of its proper divisors (21518321856).

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

10492575744 is an frugal number, since it uses more digits than its factorization.

10492575744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 10492575744 in words is "ten billion, four hundred ninety-two million, five hundred seventy-five thousand, seven hundred forty-four".