617520083152896 has 1664 divisors, whose sum is σ = 2300197616025600. Its totient is φ = 159043540746240.

The previous prime is 617520083152813. The next prime is 617520083152897. The reversal of 617520083152896 is 698251380025716.

617520083152896 is a `hidden beast` number, since 6 + 1 + 7 + 5 + 20 + 0 + 83 + 1 + 528 + 9 + 6 = 666.

It is a super-2 number, since 2×617520083152896² (a number of 30 digits) contains 22 as substring.

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 (617520083152897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 997609180875 + ... + 997609181493.

Almost surely, 2^{617520083152896} is an apocalyptic number.

617520083152896 is a gapful number since it is divisible by the number (66) 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 617520083152896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150098808012800).

617520083152896 is an abundant number, since it is smaller than the sum of its proper divisors (1682677532872704).

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

617520083152896 is a wasteful number, since it uses less digits than its factorization.

617520083152896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 617520083152896 in words is "six hundred seventeen trillion, five hundred twenty billion, eighty-three million, one hundred fifty-two thousand, eight hundred ninety-six".