2025710590400 has 336 divisors, whose sum is σ = 5734759428096. Its totient is φ = 689891143680.

The previous prime is 2025710590391. The next prime is 2025710590441. The reversal of 2025710590400 is 40950175202.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 1863578657 + ... + 1863579743.

Almost surely, 2^{2025710590400} is an apocalyptic number.

2025710590400 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 2025710590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867379714048).

2025710590400 is an abundant number, since it is smaller than the sum of its proper divisors (3709048837696).

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

2025710590400 is a wasteful number, since it uses less digits than its factorization.

2025710590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 2025710590400 in words is "two trillion, twenty-five billion, seven hundred ten million, five hundred ninety thousand, four hundred".