83786135270400 has 1056 divisors, whose sum is σ = 314026254604800. Its totient is φ = 21884033433600.

The previous prime is 83786135270353. The next prime is 83786135270479. The reversal of 83786135270400 is 407253168738.

It is a happy number.

83786135270400 is a `hidden beast` number, since 8 + 3 + 7 + 86 + 135 + 27 + 0 + 400 = 666.

It is a super-2 number, since 2×83786135270400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 26339556810 + ... + 26339559990.

Almost surely, 2^{83786135270400} is an apocalyptic number.

83786135270400 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 83786135270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157013127302400).

83786135270400 is an abundant number, since it is smaller than the sum of its proper divisors (230240119334400).

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

83786135270400 is a wasteful number, since it uses less digits than its factorization.

83786135270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 83786135270400 in words is "eighty-three trillion, seven hundred eighty-six billion, one hundred thirty-five million, two hundred seventy thousand, four hundred".