5825110880400 has 1440 divisors, whose sum is σ = 23551672596480. Its totient is φ = 1201219338240.

The previous prime is 5825110880359. The next prime is 5825110880443. The reversal of 5825110880400 is 40880115285.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16225935421 + ... + 16225935779.

It is an arithmetic number, because the mean of its divisors is an integer number (16355328192).

Almost surely, 2^{5825110880400} is an apocalyptic number.

5825110880400 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 5825110880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11775836298240).

5825110880400 is an abundant number, since it is smaller than the sum of its proper divisors (17726561716080).

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

5825110880400 is a wasteful number, since it uses less digits than its factorization.

5825110880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 42.

Adding to 5825110880400 its reverse (40880115285), we get a palindrome (5865990995685).

The spelling of 5825110880400 in words is "five trillion, eight hundred twenty-five billion, one hundred ten million, eight hundred eighty thousand, four hundred".