65030882400 has 1152 divisors, whose sum is σ = 270582681600. Its totient is φ = 15116544000.

The previous prime is 65030882377. The next prime is 65030882419. The reversal of 65030882400 is 428803056.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 596613546 + ... + 596613654.

It is an arithmetic number, because the mean of its divisors is an integer number (234880800).

Almost surely, 2^65030882400 is an apocalyptic number.

65030882400 is a gapful number since it is divisible by the number (60) 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 65030882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135291340800).

65030882400 is an abundant number, since it is smaller than the sum of its proper divisors (205551799200).

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

65030882400 is a wasteful number, since it uses less digits than its factorization.

65030882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 65030882400 in words is "sixty-five billion, thirty million, eight hundred eighty-two thousand, four hundred".