10233037578400 has 2304 divisors, whose sum is σ = 34630983475200. Its totient is φ = 2926264320000.

The previous prime is 10233037578367. The next prime is 10233037578419. The reversal of 10233037578400 is 487573033201.

It is a super-2 number, since 2×10233037578400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 167754714370 + ... + 167754714430.

It is an arithmetic number, because the mean of its divisors is an integer number (15030808800).

Almost surely, 2^{10233037578400} is an apocalyptic number.

10233037578400 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 10233037578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17315491737600).

10233037578400 is an abundant number, since it is smaller than the sum of its proper divisors (24397945896800).

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

10233037578400 is a wasteful number, since it uses less digits than its factorization.

10233037578400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 10233037578400 in words is "ten trillion, two hundred thirty-three billion, thirty-seven million, five hundred seventy-eight thousand, four hundred".