10525736760000 has 1680 divisors, whose sum is σ = 45236508683520. Its totient is φ = 2111155200000.

The previous prime is 10525736759999. The next prime is 10525736760043. The reversal of 10525736760000 is 6763752501.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×10525736760000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2947558215 + ... + 2947561785.

It is an arithmetic number, because the mean of its divisors is an integer number (26926493264).

Almost surely, 2^{10525736760000} is an apocalyptic number.

10525736760000 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 10525736760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22618254341760).

10525736760000 is an abundant number, since it is smaller than the sum of its proper divisors (34710771923520).

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

10525736760000 is a wasteful number, since it uses less digits than its factorization.

10525736760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The spelling of 10525736760000 in words is "ten trillion, five hundred twenty-five billion, seven hundred thirty-six million, seven hundred sixty thousand".