10526760000 has 735 divisors, whose sum is σ = 41304739971. Its totient is φ = 2659392000.

The previous prime is 10526759933. The next prime is 10526760011. The reversal of 10526760000 is 6762501.

The square root of 10526760000 is 102600.

It is a perfect power (a square), and thus also a powerful number.

10526760000 is a `hidden beast` number, since 1 + 0 + 52 + 6 + 7 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 825297984 + 9701462016 = 28728^2 + 98496^2 .

It is a super-2 number, since 2×10526760000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 554039991 + ... + 554040009.

Almost surely, 2^10526760000 is an apocalyptic number.

10526760000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10526760000 is the 102600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10526760000

10526760000 is an abundant number, since it is smaller than the sum of its proper divisors (30777979971).

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

10526760000 is an frugal number, since it uses more digits than its factorization.

10526760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10526760000 in words is "ten billion, five hundred twenty-six million, seven hundred sixty thousand".