83260886400 has 576 divisors, whose sum is σ = 316710220320. Its totient is φ = 20754923520.

The previous prime is 83260886389. The next prime is 83260886419. The reversal of 83260886400 is 468806238.

It is a happy number.

83260886400 is a `hidden beast` number, since 8 + 32 + 608 + 8 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×83260886400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84700309 + ... + 84701291.

Almost surely, 2^83260886400 is an apocalyptic number.

83260886400 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 83260886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158355110160).

83260886400 is an abundant number, since it is smaller than the sum of its proper divisors (233449333920).

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

83260886400 is a wasteful number, since it uses less digits than its factorization.

83260886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 83260886400 in words is "eighty-three billion, two hundred sixty million, eight hundred eighty-six thousand, four hundred".