83608963200 has 576 divisors, whose sum is σ = 342015073920. Its totient is φ = 19051315200.

The previous prime is 83608963157. The next prime is 83608963241. The reversal of 83608963200 is 236980638.

83608963200 is a `hidden beast` number, since 8 + 3 + 6 + 0 + 8 + 9 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 129225277 + ... + 129225923.

It is an arithmetic number, because the mean of its divisors is an integer number (593776170).

Almost surely, 2^83608963200 is an apocalyptic number.

83608963200 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 83608963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171007536960).

83608963200 is an abundant number, since it is smaller than the sum of its proper divisors (258406110720).

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

83608963200 is a wasteful number, since it uses less digits than its factorization.

83608963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 83608963200 in words is "eighty-three billion, six hundred eight million, nine hundred sixty-three thousand, two hundred".