83512220762880 has 1152 divisors, whose sum is σ = 367615146393600. Its totient is φ = 17481335832576.

The previous prime is 83512220762827. The next prime is 83512220762899. The reversal of 83512220762880 is 8826702221538.

83512220762880 is a `hidden beast` number, since 8 + 3 + 5 + 1 + 2 + 2 + 2 + 0 + 7 + 628 + 8 + 0 = 666.

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

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

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 127 ways as a sum of consecutive naturals, for example, 399305376 + ... + 399514464.

Almost surely, 2^{83512220762880} is an apocalyptic number.

83512220762880 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 83512220762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183807573196800).

83512220762880 is an abundant number, since it is smaller than the sum of its proper divisors (284102925630720).

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

83512220762880 is a wasteful number, since it uses less digits than its factorization.

83512220762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209266 (or 209246 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 83512220762880 in words is "eighty-three trillion, five hundred twelve billion, two hundred twenty million, seven hundred sixty-two thousand, eight hundred eighty".