83699049600 has 480 divisors, whose sum is σ = 312145841700. Its totient is φ = 22083010560.

The previous prime is 83699049583. The next prime is 83699049611. The reversal of 83699049600 is 694099638.

It is a happy number.

83699049600 is a `hidden beast` number, since 8 + 3 + 69 + 90 + 496 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23807255616 + 59891793984 = 154296^2 + 244728^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25140736 + ... + 25144064.

Almost surely, 2^83699049600 is an apocalyptic number.

83699049600 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 83699049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156072920850).

83699049600 is an abundant number, since it is smaller than the sum of its proper divisors (228446792100).

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

83699049600 is a wasteful number, since it uses less digits than its factorization.

83699049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 83699049600 in words is "eighty-three billion, six hundred ninety-nine million, forty-nine thousand, six hundred".