83579957440 has 112 divisors (see below), whose sum is σ = 227558022912. Its totient is φ = 28643245056.

The previous prime is 83579957423. The next prime is 83579957441. The reversal of 83579957440 is 4475997538.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×83579957440² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83579957441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6002967 + ... + 6016873.

Almost surely, 2^83579957440 is an apocalyptic number.

83579957440 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 83579957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113779011456).

83579957440 is an abundant number, since it is smaller than the sum of its proper divisors (143978065472).

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

83579957440 is a wasteful number, since it uses less digits than its factorization.

83579957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16614 (or 16604 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 61.

The spelling of 83579957440 in words is "eighty-three billion, five hundred seventy-nine million, nine hundred fifty-seven thousand, four hundred forty".