10492765920 has 1440 divisors, whose sum is σ = 49054553856. Its totient is φ = 2090188800.

The previous prime is 10492765919. The next prime is 10492766003. The reversal of 10492765920 is 2956729401.

10492765920 is a `hidden beast` number, since 1 + 0 + 492 + 76 + 5 + 92 + 0 = 666.

10492765920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×10492765920² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 255921100 + ... + 255921140.

Almost surely, 2^10492765920 is an apocalyptic number.

10492765920 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 10492765920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24527276928).

10492765920 is an abundant number, since it is smaller than the sum of its proper divisors (38561787936).

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

10492765920 is a wasteful number, since it uses less digits than its factorization.

10492765920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10492765920 in words is "ten billion, four hundred ninety-two million, seven hundred sixty-five thousand, nine hundred twenty".