83796542400 has 168 divisors, whose sum is σ = 281316728704. Its totient is φ = 21826022400.

The previous prime is 83796542399. The next prime is 83796542407. The reversal of 83796542400 is 424569738.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 83796542400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83796542407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3405 + ... + 409395.

Almost surely, 2^83796542400 is an apocalyptic number.

83796542400 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 83796542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140658364352).

83796542400 is an abundant number, since it is smaller than the sum of its proper divisors (197520186304).

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

83796542400 is a wasteful number, since it uses less digits than its factorization.

83796542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406059 (or 406044 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 83796542400 in words is "eighty-three billion, seven hundred ninety-six million, five hundred forty-two thousand, four hundred".