10725114064896 has 1872 divisors, whose sum is σ = 41229835964928. Its totient is φ = 2708884684800.

The previous prime is 10725114064883. The next prime is 10725114064927. The reversal of 10725114064896 is 69846041152701.

10725114064896 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 511 + 40 + 6 + 4 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 146919370716 + ... + 146919370788.

It is an arithmetic number, because the mean of its divisors is an integer number (22024485024).

Almost surely, 2^{10725114064896} is an apocalyptic number.

10725114064896 is a gapful number since it is divisible by the number (16) 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 10725114064896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20614917982464).

10725114064896 is an abundant number, since it is smaller than the sum of its proper divisors (30504721900032).

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

10725114064896 is an frugal number, since it uses more digits than its factorization.

10725114064896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10725114064896 in words is "ten trillion, seven hundred twenty-five billion, one hundred fourteen million, sixty-four thousand, eight hundred ninety-six".