83387283840 has 1280 divisors, whose sum is σ = 362274232320. Its totient is φ = 17868128256.

The previous prime is 83387283839. The next prime is 83387283841. The reversal of 83387283840 is 4838278338.

It is an interprime number because it is at equal distance from previous prime (83387283839) and next prime (83387283841).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83387283841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 809585229 + ... + 809585331.

It is an arithmetic number, because the mean of its divisors is an integer number (283026744).

Almost surely, 2^83387283840 is an apocalyptic number.

83387283840 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 83387283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181137116160).

83387283840 is an abundant number, since it is smaller than the sum of its proper divisors (278886948480).

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

83387283840 is a wasteful number, since it uses less digits than its factorization.

83387283840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 83387283840 in words is "eighty-three billion, three hundred eighty-seven million, two hundred eighty-three thousand, eight hundred forty".