83540831569920 has 384 divisors, whose sum is σ = 296995988016000. Its totient is φ = 22274971729920.

The previous prime is 83540831569901. The next prime is 83540831570047. The reversal of 83540831569920 is 2996513804538.

83540831569920 is a `hidden beast` number, since 8 + 3 + 5 + 40 + 8 + 3 + 1 + 569 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4238705026 + ... + 4238724734.

It is an arithmetic number, because the mean of its divisors is an integer number (773427052125).

Almost surely, 2^{83540831569920} is an apocalyptic number.

83540831569920 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 83540831569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148497994008000).

83540831569920 is an abundant number, since it is smaller than the sum of its proper divisors (213455156446080).

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

83540831569920 is a wasteful number, since it uses less digits than its factorization.

83540831569920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35076 (or 35050 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 83540831569920 in words is "eighty-three trillion, five hundred forty billion, eight hundred thirty-one million, five hundred sixty-nine thousand, nine hundred twenty".