83375956800 has 840 divisors, whose sum is σ = 324607098816. Its totient is φ = 20948336640.

The previous prime is 83375956759. The next prime is 83375956801. The reversal of 83375956800 is 865957338.

It is a happy number.

83375956800 is a `hidden beast` number, since 8 + 3 + 3 + 75 + 9 + 568 + 0 + 0 = 666.

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 (83375956801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 247406232 + ... + 247406568.

Almost surely, 2^83375956800 is an apocalyptic number.

83375956800 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 83375956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162303549408).

83375956800 is an abundant number, since it is smaller than the sum of its proper divisors (241231142016).

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

83375956800 is a wasteful number, since it uses less digits than its factorization.

83375956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 83375956800 in words is "eighty-three billion, three hundred seventy-five million, nine hundred fifty-six thousand, eight hundred".