10573726500 has 192 divisors, whose sum is σ = 34306272000. Its totient is φ = 2811888000.

The previous prime is 10573726489. The next prime is 10573726561. The reversal of 10573726500 is 562737501.

10573726500 is a `hidden beast` number, since 10 + 5 + 73 + 72 + 6 + 500 = 666.

It is a super-2 number, since 2×10573726500² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6222651 + ... + 6224349.

It is an arithmetic number, because the mean of its divisors is an integer number (178678500).

Almost surely, 2^10573726500 is an apocalyptic number.

10573726500 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 10573726500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17153136000).

10573726500 is an abundant number, since it is smaller than the sum of its proper divisors (23732545500).

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

10573726500 is a wasteful number, since it uses less digits than its factorization.

10573726500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 10573726500 in words is "ten billion, five hundred seventy-three million, seven hundred twenty-six thousand, five hundred".