83542593780 has 576 divisors, whose sum is σ = 291608352000. Its totient is φ = 19785876480.

The previous prime is 83542593727. The next prime is 83542593787. The reversal of 83542593780 is 8739524538.

83542593780 is a `hidden beast` number, since 8 + 3 + 5 + 42 + 593 + 7 + 8 + 0 = 666.

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 (83542593787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 364814706 + ... + 364814934.

It is an arithmetic number, because the mean of its divisors is an integer number (506264500).

Almost surely, 2^83542593780 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 83542593780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145804176000).

83542593780 is an abundant number, since it is smaller than the sum of its proper divisors (208065758220).

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

83542593780 is a wasteful number, since it uses less digits than its factorization.

83542593780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 83542593780 in words is "eighty-three billion, five hundred forty-two million, five hundred ninety-three thousand, seven hundred eighty".