83672151120000 has 960 divisors, whose sum is σ = 313431706748160. Its totient is φ = 22211366400000.

The previous prime is 83672151119983. The next prime is 83672151120079. The reversal of 83672151120000 is 2115127638.

83672151120000 is a `hidden beast` number, since 83 + 67 + 2 + 1 + 511 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4335110350 + ... + 4335129650.

It is an arithmetic number, because the mean of its divisors is an integer number (326491361196).

Almost surely, 2^{83672151120000} is an apocalyptic number.

83672151120000 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 83672151120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156715853374080).

83672151120000 is an abundant number, since it is smaller than the sum of its proper divisors (229759555628160).

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

83672151120000 is an equidigital number, since it uses as much as digits as its factorization.

83672151120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19573 (or 19534 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 83672151120000 its reverse (2115127638), we get a palindrome (83674266247638).

The spelling of 83672151120000 in words is "eighty-three trillion, six hundred seventy-two billion, one hundred fifty-one million, one hundred twenty thousand".