83133505400 has 192 divisors, whose sum is σ = 230961780000. Its totient is φ = 27470643200.

The previous prime is 83133505379. The next prime is 83133505409. The reversal of 83133505400 is 450533138.

It is a super-2 number, since 2×83133505400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83133505409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1046276 + ... + 1122924.

Almost surely, 2^83133505400 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 83133505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115480890000).

83133505400 is an abundant number, since it is smaller than the sum of its proper divisors (147828274600).

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

83133505400 is a wasteful number, since it uses less digits than its factorization.

83133505400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76722 (or 76713 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 83133505400 in words is "eighty-three billion, one hundred thirty-three million, five hundred five thousand, four hundred".