83863521280 has 768 divisors, whose sum is σ = 268101550080. Its totient is φ = 24418713600.

The previous prime is 83863521277. The next prime is 83863521337. The reversal of 83863521280 is 8212536838.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 83863521280.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1148815324 + ... + 1148815396.

It is an arithmetic number, because the mean of its divisors is an integer number (349090560).

Almost surely, 2^83863521280 is an apocalyptic number.

83863521280 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 83863521280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134050775040).

83863521280 is an abundant number, since it is smaller than the sum of its proper divisors (184238028800).

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

83863521280 is a wasteful number, since it uses less digits than its factorization.

83863521280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 83863521280 in words is "eighty-three billion, eight hundred sixty-three million, five hundred twenty-one thousand, two hundred eighty".