83256021240480 has 576 divisors, whose sum is σ = 321637885890048. Its totient is φ = 20169514460160.

The previous prime is 83256021240479. The next prime is 83256021240517. The reversal of 83256021240480 is 8404212065238.

83256021240480 is a `hidden beast` number, since 8 + 3 + 2 + 560 + 2 + 1 + 2 + 4 + 0 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 634183807 + ... + 634315073.

It is an arithmetic number, because the mean of its divisors is an integer number (558399107448).

Almost surely, 2^{83256021240480} is an apocalyptic number.

83256021240480 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 83256021240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160818942945024).

83256021240480 is an abundant number, since it is smaller than the sum of its proper divisors (238381864649568).

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

83256021240480 is a wasteful number, since it uses less digits than its factorization.

83256021240480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132791 (or 132771 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 83256021240480 in words is "eighty-three trillion, two hundred fifty-six billion, twenty-one million, two hundred forty thousand, four hundred eighty".