83133626400 has 576 divisors, whose sum is σ = 332562464640. Its totient is φ = 19873382400.

The previous prime is 83133626369. The next prime is 83133626447. The reversal of 83133626400 is 462633138.

83133626400 is a `hidden beast` number, since 8 + 3 + 1 + 3 + 3 + 6 + 2 + 640 + 0 = 666.

It is a super-2 number, since 2×83133626400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17342404 + ... + 17347196.

It is an arithmetic number, because the mean of its divisors is an integer number (577365390).

Almost surely, 2^83133626400 is an apocalyptic number.

83133626400 is a gapful number since it is divisible by the number (80) 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 83133626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166281232320).

83133626400 is an abundant number, since it is smaller than the sum of its proper divisors (249428838240).

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

83133626400 is a wasteful number, since it uses less digits than its factorization.

83133626400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 83133626400 in words is "eighty-three billion, one hundred thirty-three million, six hundred twenty-six thousand, four hundred".