83120524764480 has 280 divisors, whose sum is σ = 337913520329088. Its totient is φ = 18998977047552.

The previous prime is 83120524764461. The next prime is 83120524764481. The reversal of 83120524764480 is 8446742502138.

83120524764480 is a `hidden beast` number, since 8 + 3 + 1 + 2 + 0 + 52 + 476 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83120524764481) 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 39 ways as a sum of consecutive naturals, for example, 228876444 + ... + 229239323.

Almost surely, 2^{83120524764480} is an apocalyptic number.

83120524764480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83120524764480 is an abundant number, since it is smaller than the sum of its proper divisors (254792995564608).

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

83120524764480 is a wasteful number, since it uses less digits than its factorization.

83120524764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458115803 (or 458115784 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 83120524764480 in words is "eighty-three trillion, one hundred twenty billion, five hundred twenty-four million, seven hundred sixty-four thousand, four hundred eighty".