83652248160 has 576 divisors, whose sum is σ = 333130045248. Its totient is φ = 18926272512.

The previous prime is 83652248137. The next prime is 83652248213. The reversal of 83652248160 is 6184225638.

83652248160 is a `hidden beast` number, since 8 + 365 + 224 + 8 + 1 + 60 = 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 95 ways as a sum of consecutive naturals, for example, 13681264 + ... + 13687376.

It is an arithmetic number, because the mean of its divisors is an integer number (578350773).

Almost surely, 2^83652248160 is an apocalyptic number.

83652248160 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 83652248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166565022624).

83652248160 is an abundant number, since it is smaller than the sum of its proper divisors (249477797088).

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

83652248160 is a wasteful number, since it uses less digits than its factorization.

83652248160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6207 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 83652248160 in words is "eighty-three billion, six hundred fifty-two million, two hundred forty-eight thousand, one hundred sixty".