83225802240 has 600 divisors, whose sum is σ = 346798374912. Its totient is φ = 19020718080.

The previous prime is 83225802229. The next prime is 83225802263. The reversal of 83225802240 is 4220852238.

83225802240 is a `hidden beast` number, since 8 + 32 + 2 + 580 + 2 + 2 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83225802195 and 83225802204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10156545 + ... + 10164735.

Almost surely, 2^83225802240 is an apocalyptic number.

83225802240 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 83225802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173399187456).

83225802240 is an abundant number, since it is smaller than the sum of its proper divisors (263572572672).

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

83225802240 is an equidigital number, since it uses as much as digits as its factorization.

83225802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8240 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 83225802240 in words is "eighty-three billion, two hundred twenty-five million, eight hundred two thousand, two hundred forty".