83335498090400 has 144 divisors (see below), whose sum is σ = 212366509157880. Its totient is φ = 31901581209600.

The previous prime is 83335498090391. The next prime is 83335498090489. The reversal of 83335498090400 is 409089453338.

It can be written as a sum of positive squares in 12 ways, for example, as 2251164150544 + 81084333939856 = 1500388^2 + 9004684^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21271355 + ... + 24882554.

Almost surely, 2^{83335498090400} is an apocalyptic number.

83335498090400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83335498090400 is an abundant number, since it is smaller than the sum of its proper divisors (129031011067480).

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

83335498090400 is a wasteful number, since it uses less digits than its factorization.

83335498090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46154027 (or 46154014 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 56.

The spelling of 83335498090400 in words is "eighty-three trillion, three hundred thirty-five billion, four hundred ninety-eight million, ninety thousand, four hundred".