83955722400 has 1008 divisors, whose sum is σ = 350420696640. Its totient is φ = 19433779200.

The previous prime is 83955722371. The next prime is 83955722401. The reversal of 83955722400 is 422755938.

83955722400 is a `hidden beast` number, since 8 + 39 + 5 + 572 + 2 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (83955722401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 147549316 + ... + 147549884.

It is an arithmetic number, because the mean of its divisors is an integer number (347639580).

Almost surely, 2^83955722400 is an apocalyptic number.

83955722400 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 83955722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175210348320).

83955722400 is an abundant number, since it is smaller than the sum of its proper divisors (266464974240).

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

83955722400 is a wasteful number, since it uses less digits than its factorization.

83955722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 83955722400 in words is "eighty-three billion, nine hundred fifty-five million, seven hundred twenty-two thousand, four hundred".