10252054401400 has 384 divisors, whose sum is σ = 29424688128000. Its totient is φ = 3243359024640.

The previous prime is 10252054401367. The next prime is 10252054401431. The reversal of 10252054401400 is 410445025201.

It is a super-2 number, since 2×10252054401400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 410611717 + ... + 410636683.

It is an arithmetic number, because the mean of its divisors is an integer number (76626792000).

Almost surely, 2^{10252054401400} is an apocalyptic number.

10252054401400 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 10252054401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712344064000).

10252054401400 is an abundant number, since it is smaller than the sum of its proper divisors (19172633726600).

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

10252054401400 is a wasteful number, since it uses less digits than its factorization.

10252054401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25411 (or 25402 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 10252054401400 its reverse (410445025201), we get a palindrome (10662499426601).

The spelling of 10252054401400 in words is "ten trillion, two hundred fifty-two billion, fifty-four million, four hundred one thousand, four hundred".