5435125222400 has 264 divisors, whose sum is σ = 13574883889920. Its totient is φ = 2157582090240.

The previous prime is 5435125222391. The next prime is 5435125222487. The reversal of 5435125222400 is 42225215345.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4814105036 + ... + 4814106164.

Almost surely, 2^{5435125222400} is an apocalyptic number.

5435125222400 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 5435125222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6787441944960).

5435125222400 is an abundant number, since it is smaller than the sum of its proper divisors (8139758667520).

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

5435125222400 is a wasteful number, since it uses less digits than its factorization.

5435125222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 5435125222400 in words is "five trillion, four hundred thirty-five billion, one hundred twenty-five million, two hundred twenty-two thousand, four hundred".