83939172480 has 480 divisors, whose sum is σ = 306693392940. Its totient is φ = 21877641216.

The previous prime is 83939172469. The next prime is 83939172481. The reversal of 83939172480 is 8427193938.

83939172480 is a `hidden beast` number, since 8 + 3 + 9 + 3 + 91 + 72 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78889080384 + 5050092096 = 280872^2 + 71064^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (83939172481) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 114514194 + ... + 114514926.

Almost surely, 2^83939172480 is an apocalyptic number.

83939172480 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 83939172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153346696470).

83939172480 is an abundant number, since it is smaller than the sum of its proper divisors (222754220460).

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

83939172480 is an equidigital number, since it uses as much as digits as its factorization.

83939172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 83939172480 in words is "eighty-three billion, nine hundred thirty-nine million, one hundred seventy-two thousand, four hundred eighty".