2925163138400 has 288 divisors, whose sum is σ = 7529770251360. Its totient is φ = 1108187136000.

The previous prime is 2925163138397. The next prime is 2925163138451. The reversal of 2925163138400 is 48313615292.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595875146 + ... + 595880054.

It is an arithmetic number, because the mean of its divisors is an integer number (26145035595).

Almost surely, 2^{2925163138400} is an apocalyptic number.

2925163138400 is a gapful number since it is divisible by the number (20) 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 2925163138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764885125680).

2925163138400 is an abundant number, since it is smaller than the sum of its proper divisors (4604607112960).

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

2925163138400 is a wasteful number, since it uses less digits than its factorization.

2925163138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498 (or 5485 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 2925163138400 in words is "two trillion, nine hundred twenty-five billion, one hundred sixty-three million, one hundred thirty-eight thousand, four hundred".