10547314242400 has 288 divisors, whose sum is σ = 27995605041600. Its totient is φ = 3857122590720.

The previous prime is 10547314242391. The next prime is 10547314242407. The reversal of 10547314242400 is 424241374501.

It is a super-2 number, since 2×10547314242400² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10547314242400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10547314242407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639726957 + ... + 639743443.

It is an arithmetic number, because the mean of its divisors is an integer number (97206961950).

Almost surely, 2^{10547314242400} is an apocalyptic number.

10547314242400 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 10547314242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13997802520800).

10547314242400 is an abundant number, since it is smaller than the sum of its proper divisors (17448290799200).

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

10547314242400 is a wasteful number, since it uses less digits than its factorization.

10547314242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17106 (or 17093 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The spelling of 10547314242400 in words is "ten trillion, five hundred forty-seven billion, three hundred fourteen million, two hundred forty-two thousand, four hundred".