83415691054080 has 5280 divisors, whose sum is σ = 398247194634240. Its totient is φ = 16523639193600.

The previous prime is 83415691054037. The next prime is 83415691054093. The reversal of 83415691054080 is 8045019651438.

It is a happy number.

83415691054080 is a `hidden beast` number, since 8 + 3 + 4 + 1 + 5 + 6 + 9 + 10 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1245010314207 + ... + 1245010314273.

Almost surely, 2^{83415691054080} is an apocalyptic number.

83415691054080 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 83415691054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199123597317120).

83415691054080 is an abundant number, since it is smaller than the sum of its proper divisors (314831503580160).

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

83415691054080 is a wasteful number, since it uses less digits than its factorization.

83415691054080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 83415691054080 in words is "eighty-three trillion, four hundred fifteen billion, six hundred ninety-one million, fifty-four thousand, eighty".