10253552400 has 480 divisors, whose sum is σ = 44921291520. Its totient is φ = 2163179520.

The previous prime is 10253552389. The next prime is 10253552423. The reversal of 10253552400 is 425535201.

It is a happy number.

10253552400 is a `hidden beast` number, since 1 + 0 + 253 + 5 + 5 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 977584 + ... + 988016.

It is an arithmetic number, because the mean of its divisors is an integer number (93586024).

Almost surely, 2^10253552400 is an apocalyptic number.

10253552400 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 10253552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22460645760).

10253552400 is an abundant number, since it is smaller than the sum of its proper divisors (34667739120).

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

10253552400 is a wasteful number, since it uses less digits than its factorization.

10253552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10480 (or 10463 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 10253552400 in words is "ten billion, two hundred fifty-three million, five hundred fifty-two thousand, four hundred".