10725653087400 has 192 divisors, whose sum is σ = 33676016025600. Its totient is φ = 2823498812160.

The previous prime is 10725653087381. The next prime is 10725653087407. The reversal of 10725653087400 is 478035652701.

It is a self number, because there is not a number n which added to its sum of digits gives 10725653087400.

It is not an unprimeable number, because it can be changed into a prime (10725653087407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 354868689 + ... + 354898911.

It is an arithmetic number, because the mean of its divisors is an integer number (175395916800).

Almost surely, 2^{10725653087400} is an apocalyptic number.

10725653087400 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 10725653087400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16838008012800).

10725653087400 is an abundant number, since it is smaller than the sum of its proper divisors (22950362938200).

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

10725653087400 is a wasteful number, since it uses less digits than its factorization.

10725653087400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37808 (or 37799 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 10725653087400 in words is "ten trillion, seven hundred twenty-five billion, six hundred fifty-three million, eighty-seven thousand, four hundred".