10573263120 has 640 divisors, whose sum is σ = 40854528000. Its totient is φ = 2257016832.

The previous prime is 10573263119. The next prime is 10573263137. The reversal of 10573263120 is 2136237501.

It is a super-2 number, since 2×10573263120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102652989 + ... + 102653091.

It is an arithmetic number, because the mean of its divisors is an integer number (63835200).

Almost surely, 2^10573263120 is an apocalyptic number.

10573263120 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 10573263120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20427264000).

10573263120 is an abundant number, since it is smaller than the sum of its proper divisors (30281264880).

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

10573263120 is a wasteful number, since it uses less digits than its factorization.

10573263120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 10573263120 in words is "ten billion, five hundred seventy-three million, two hundred sixty-three thousand, one hundred twenty".