83425114152960 has 448 divisors, whose sum is σ = 277693894598400. Its totient is φ = 21359408709632.

The previous prime is 83425114152911. The next prime is 83425114152967. The reversal of 83425114152960 is 6925141152438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83425114152967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637804687 + ... + 637935473.

It is an arithmetic number, because the mean of its divisors is an integer number (619852443300).

Almost surely, 2^{83425114152960} is an apocalyptic number.

83425114152960 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 83425114152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138846947299200).

83425114152960 is an abundant number, since it is smaller than the sum of its proper divisors (194268780445440).

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

83425114152960 is a wasteful number, since it uses less digits than its factorization.

83425114152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131029 (or 131005 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 83425114152960 in words is "eighty-three trillion, four hundred twenty-five billion, one hundred fourteen million, one hundred fifty-two thousand, nine hundred sixty".