83772604917540 has 480 divisors, whose sum is σ = 327725332704000. Its totient is φ = 17402971668480.

The previous prime is 83772604917401. The next prime is 83772604917541. The reversal of 83772604917540 is 4571940627738.

83772604917540 is a `hidden beast` number, since 8 + 3 + 7 + 7 + 2 + 604 + 9 + 17 + 5 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is not an unprimeable number, because it can be changed into a prime (83772604917541) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 514970136 + ... + 515132784.

It is an arithmetic number, because the mean of its divisors is an integer number (682761109800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅83772604917540 = 167545209835080, but 3⋅83772604917540 = 251317814752620 is not.

Almost surely, 2^{83772604917540} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83772604917540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163862666352000).

83772604917540 is an abundant number, since it is smaller than the sum of its proper divisors (243952727786460).

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

83772604917540 is a wasteful number, since it uses less digits than its factorization.

83772604917540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166817 (or 166806 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 83772604917540 in words is "eighty-three trillion, seven hundred seventy-two billion, six hundred four million, nine hundred seventeen thousand, five hundred forty".