735725400000 has 168 divisors, whose sum is σ = 2433104740080. Its totient is φ = 196193280000.

The previous prime is 735725399923. The next prime is 735725400041. The reversal of 735725400000 is 4527537.

735725400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13105 + ... + 1213104.

It is an arithmetic number, because the mean of its divisors is an integer number (14482766310).

Almost surely, 2^735725400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 735725400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216552370040).

735725400000 is an abundant number, since it is smaller than the sum of its proper divisors (1697379340080).

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

735725400000 is an equidigital number, since it uses as much as digits as its factorization.

735725400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226249 (or 1226219 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

Adding to 735725400000 its reverse (4527537), we get a palindrome (735729927537).

The spelling of 735725400000 in words is "seven hundred thirty-five billion, seven hundred twenty-five million, four hundred thousand".