10054323250400 has 288 divisors, whose sum is σ = 28843140983328. Its totient is φ = 3374067916800.

The previous prime is 10054323250393. The next prime is 10054323250451. The reversal of 10054323250400 is 405232345001.

It is a happy number.

It is a super-2 number, since 2×10054323250400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654017114 + ... + 654032486.

It is an arithmetic number, because the mean of its divisors is an integer number (100149795081).

Almost surely, 2^{10054323250400} is an apocalyptic number.

10054323250400 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 10054323250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14421570491664).

10054323250400 is an abundant number, since it is smaller than the sum of its proper divisors (18788817732928).

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

10054323250400 is a wasteful number, since it uses less digits than its factorization.

10054323250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21134 (or 21121 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 10054323250400 its reverse (405232345001), we get a palindrome (10459555595401).

The spelling of 10054323250400 in words is "ten trillion, fifty-four billion, three hundred twenty-three million, two hundred fifty thousand, four hundred".