83450459520 has 512 divisors, whose sum is σ = 318137673600. Its totient is φ = 20596654080.

The previous prime is 83450459513. The next prime is 83450459539. The reversal of 83450459520 is 2595405438.

83450459520 is a `hidden beast` number, since 8 + 3 + 4 + 50 + 4 + 595 + 2 + 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 63 ways as a sum of consecutive naturals, for example, 17917032 + ... + 17921688.

Almost surely, 2^83450459520 is an apocalyptic number.

83450459520 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 83450459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159068836800).

83450459520 is an abundant number, since it is smaller than the sum of its proper divisors (234687214080).

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

83450459520 is a wasteful number, since it uses less digits than its factorization.

83450459520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763 (or 4745 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 83450459520 in words is "eighty-three billion, four hundred fifty million, four hundred fifty-nine thousand, five hundred twenty".