83005655040 has 1152 divisors, whose sum is σ = 375107241600. Its totient is φ = 17216962560.

The previous prime is 83005655021. The next prime is 83005655059. The reversal of 83005655040 is 4055650038.

83005655040 is a `hidden beast` number, since 8 + 3 + 0 + 0 + 565 + 50 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (83005655021) and next prime (83005655059).

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 83005654986 and 83005655004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149022442 + ... + 149022998.

It is an arithmetic number, because the mean of its divisors is an integer number (325613925).

Almost surely, 2^83005655040 is an apocalyptic number.

83005655040 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 83005655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187553620800).

83005655040 is an abundant number, since it is smaller than the sum of its proper divisors (292101586560).

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

83005655040 is a wasteful number, since it uses less digits than its factorization.

83005655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 83005655040 in words is "eighty-three billion, five million, six hundred fifty-five thousand, forty".