83609148672000 has 3840 divisors, whose sum is σ = 389667035197440. Its totient is φ = 17390370816000.

The previous prime is 83609148671891. The next prime is 83609148672001. The reversal of 83609148672000 is 27684190638.

83609148672000 is a `hidden beast` number, since 8 + 3 + 6 + 0 + 91 + 486 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 (83609148672001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 76495103454 + ... + 76495104546.

It is an arithmetic number, because the mean of its divisors is an integer number (101475790416).

Almost surely, 2^{83609148672000} is an apocalyptic number.

83609148672000 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 83609148672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194833517598720).

83609148672000 is an abundant number, since it is smaller than the sum of its proper divisors (306057886525440).

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

83609148672000 is a wasteful number, since it uses less digits than its factorization.

83609148672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 83609148672000 in words is "eighty-three trillion, six hundred nine billion, one hundred forty-eight million, six hundred seventy-two thousand".