83954642800 has 480 divisors, whose sum is σ = 254494818432. Its totient is φ = 25958154240.

The previous prime is 83954642767. The next prime is 83954642801. The reversal of 83954642800 is 824645938.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83954642801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128567274 + ... + 128567926.

Almost surely, 2^83954642800 is an apocalyptic number.

83954642800 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 83954642800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127247409216).

83954642800 is an abundant number, since it is smaller than the sum of its proper divisors (170540175632).

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

83954642800 is a wasteful number, since it uses less digits than its factorization.

83954642800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 83954642800 in words is "eighty-three billion, nine hundred fifty-four million, six hundred forty-two thousand, eight hundred".