83387420413200 has 180 divisors, whose sum is σ = 290166011186688. Its totient is φ = 22176054777600.

The previous prime is 83387420413163. The next prime is 83387420413229. The reversal of 83387420413200 is 231402478338.

83387420413200 is a `hidden beast` number, since 8 + 3 + 3 + 8 + 7 + 4 + 20 + 413 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30236256 + ... + 32878655.

Almost surely, 2^{83387420413200} is an apocalyptic number.

83387420413200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83387420413200 is an abundant number, since it is smaller than the sum of its proper divisors (206778590773488).

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

83387420413200 is a wasteful number, since it uses less digits than its factorization.

83387420413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63115302 (or 63115288 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 83387420413200 in words is "eighty-three trillion, three hundred eighty-seven billion, four hundred twenty million, four hundred thirteen thousand, two hundred".