10025553133200 has 480 divisors, whose sum is σ = 37106857009152. Its totient is φ = 2286777344000.

The previous prime is 10025553133187. The next prime is 10025553133231. The reversal of 10025553133200 is 233135552001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1281544489 + ... + 1281552311.

Almost surely, 2^{10025553133200} is an apocalyptic number.

10025553133200 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 10025553133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18553428504576).

10025553133200 is an abundant number, since it is smaller than the sum of its proper divisors (27081303875952).

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

10025553133200 is a wasteful number, since it uses less digits than its factorization.

10025553133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13583 (or 13572 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 10025553133200 its reverse (233135552001), we get a palindrome (10258688685201).

The spelling of 10025553133200 in words is "ten trillion, twenty-five billion, five hundred fifty-three million, one hundred thirty-three thousand, two hundred".