10552033025400 has 192 divisors, whose sum is σ = 32858731192320. Its totient is φ = 2801201817600.

The previous prime is 10552033025399. The next prime is 10552033025407. The reversal of 10552033025400 is 452033025501.

10552033025400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10552033025400² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10552033025407) 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, 463142409 + ... + 463165191.

It is an arithmetic number, because the mean of its divisors is an integer number (171139224960).

Almost surely, 2^{10552033025400} is an apocalyptic number.

10552033025400 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 10552033025400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16429365596160).

10552033025400 is an abundant number, since it is smaller than the sum of its proper divisors (22306698166920).

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

10552033025400 is a wasteful number, since it uses less digits than its factorization.

10552033025400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26246 (or 26237 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 10552033025400 in words is "ten trillion, five hundred fifty-two billion, thirty-three million, twenty-five thousand, four hundred".