83263488000 has 912 divisors, whose sum is σ = 348093013632. Its totient is φ = 17301504000.

The previous prime is 83263487947. The next prime is 83263488013. The reversal of 83263488000 is 88436238.

It is a super-2 number, since 2×83263488000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7569407995 + ... + 7569408005.

It is an arithmetic number, because the mean of its divisors is an integer number (381680936).

Almost surely, 2^83263488000 is an apocalyptic number.

83263488000 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 83263488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174046506816).

83263488000 is an abundant number, since it is smaller than the sum of its proper divisors (264829525632).

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

83263488000 is an frugal number, since it uses more digits than its factorization.

83263488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 83263488000 in words is "eighty-three billion, two hundred sixty-three million, four hundred eighty-eight thousand".