83164349030400 has 5040 divisors, whose sum is σ = 380337719952960. Its totient is φ = 17759836569600.

The previous prime is 83164349030387. The next prime is 83164349030431. The reversal of 83164349030400 is 403094346138.

83164349030400 is a `hidden beast` number, since 8 + 31 + 64 + 3 + 490 + 30 + 40 + 0 = 666.

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 359 ways as a sum of consecutive naturals, for example, 1001980108759 + ... + 1001980108841.

It is an arithmetic number, because the mean of its divisors is an integer number (75463833324).

Almost surely, 2^{83164349030400} is an apocalyptic number.

83164349030400 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 83164349030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190168859976480).

83164349030400 is an abundant number, since it is smaller than the sum of its proper divisors (297173370922560).

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

83164349030400 is a wasteful number, since it uses less digits than its factorization.

83164349030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 83164349030400 in words is "eighty-three trillion, one hundred sixty-four billion, three hundred forty-nine million, thirty thousand, four hundred".