83831067375200 has 216 divisors, whose sum is σ = 221013759010968. Its totient is φ = 31028777256960.

The previous prime is 83831067375179. The next prime is 83831067375277. The reversal of 83831067375200 is 257376013838.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9043124 + ... + 15793676.

It is an arithmetic number, because the mean of its divisors is an integer number (1023211847273).

Almost surely, 2^{83831067375200} is an apocalyptic number.

83831067375200 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 83831067375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110506879505484).

83831067375200 is an abundant number, since it is smaller than the sum of its proper divisors (137182691635768).

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

83831067375200 is a wasteful number, since it uses less digits than its factorization.

83831067375200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6750654 (or 6750622 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 83831067375200 in words is "eighty-three trillion, eight hundred thirty-one billion, sixty-seven million, three hundred seventy-five thousand, two hundred".