83040215040000 has 1700 divisors, whose sum is σ = 314315778329696. Its totient is φ = 21929066496000.

The previous prime is 83040215039981. The next prime is 83040215040001. The reversal of 83040215040000 is 4051204038.

83040215040000 is a `hidden beast` number, since 8 + 3 + 0 + 40 + 215 + 0 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83040215040001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 806215679949 + ... + 806215680051.

Almost surely, 2^{83040215040000} is an apocalyptic number.

83040215040000 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 83040215040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157157889164848).

83040215040000 is an abundant number, since it is smaller than the sum of its proper divisors (231275563289696).

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

83040215040000 is an frugal number, since it uses more digits than its factorization.

83040215040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 83040215040000 its reverse (4051204038), we get a palindrome (83044266244038).

The spelling of 83040215040000 in words is "eighty-three trillion, forty billion, two hundred fifteen million, forty thousand".