83788487340480 has 2016 divisors, whose sum is σ = 339149561699520. Its totient is φ = 18905817415680.

The previous prime is 83788487340461. The next prime is 83788487340499. The reversal of 83788487340480 is 8404378488738.

83788487340480 is a `hidden beast` number, since 8 + 3 + 78 + 8 + 4 + 8 + 73 + 4 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (83788487340461) and next prime (83788487340499).

It is a super-2 number, since 2×83788487340480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 83788487340399 and 83788487340408.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 55015420999 + ... + 55015422521.

Almost surely, 2^{83788487340480} is an apocalyptic number.

83788487340480 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 83788487340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169574780849760).

83788487340480 is an abundant number, since it is smaller than the sum of its proper divisors (255361074359040).

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

83788487340480 is a wasteful number, since it uses less digits than its factorization.

83788487340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 924844032, while the sum is 72.

The spelling of 83788487340480 in words is "eighty-three trillion, seven hundred eighty-eight billion, four hundred eighty-seven million, three hundred forty thousand, four hundred eighty".