83534293939200 has 1056 divisors, whose sum is σ = 308707416794112. Its totient is φ = 19782696960000.

The previous prime is 83534293939163. The next prime is 83534293939237. The reversal of 83534293939200 is 293939243538.

It is a happy number.

83534293939200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (83534293939163) and next prime (83534293939237).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5354411400 + ... + 5354427000.

Almost surely, 2^{83534293939200} is an apocalyptic number.

83534293939200 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 83534293939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154353708397056).

83534293939200 is an abundant number, since it is smaller than the sum of its proper divisors (225173122854912).

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

83534293939200 is a wasteful number, since it uses less digits than its factorization.

83534293939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15851 (or 15828 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 60.

The spelling of 83534293939200 in words is "eighty-three trillion, five hundred thirty-four billion, two hundred ninety-three million, nine hundred thirty-nine thousand, two hundred".