83529801840 has 320 divisors, whose sum is σ = 280582041600. Its totient is φ = 20487168000.

The previous prime is 83529801791. The next prime is 83529801851. The reversal of 83529801840 is 4810892538.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 83529801840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42812865 + ... + 42814815.

It is an arithmetic number, because the mean of its divisors is an integer number (876818880).

Almost surely, 2^83529801840 is an apocalyptic number.

83529801840 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 83529801840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140291020800).

83529801840 is an abundant number, since it is smaller than the sum of its proper divisors (197052239760).

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

83529801840 is a wasteful number, since it uses less digits than its factorization.

83529801840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 83529801840 in words is "eighty-three billion, five hundred twenty-nine million, eight hundred one thousand, eight hundred forty".