5925057957000 has 1024 divisors, whose sum is σ = 26767509350400. Its totient is φ = 1176577228800.

The previous prime is 5925057956999. The next prime is 5925057957001. The reversal of 5925057957000 is 7597505295.

It is an interprime number because it is at equal distance from previous prime (5925057956999) and next prime (5925057957001).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5925057957001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41698074 + ... + 41839926.

It is an arithmetic number, because the mean of its divisors is an integer number (26140145850).

Almost surely, 2^{5925057957000} is an apocalyptic number.

5925057957000 is a gapful number since it is divisible by the number (50) 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 5925057957000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13383754675200).

5925057957000 is an abundant number, since it is smaller than the sum of its proper divisors (20842451393400).

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

5925057957000 is a wasteful number, since it uses less digits than its factorization.

5925057957000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141920 (or 141900 counting only the distinct ones).

The product of its (nonzero) digits is 4961250, while the sum is 54.

The spelling of 5925057957000 in words is "five trillion, nine hundred twenty-five billion, fifty-seven million, nine hundred fifty-seven thousand".