83460420252000 has 1536 divisors, whose sum is σ = 346372710727680. Its totient is φ = 19322392320000.

The previous prime is 83460420251981. The next prime is 83460420252049. The reversal of 83460420252000 is 25202406438.

83460420252000 is a `hidden beast` number, since 8 + 3 + 4 + 6 + 0 + 420 + 25 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20301729945 + ... + 20301734055.

It is an arithmetic number, because the mean of its divisors is an integer number (225503066880).

Almost surely, 2^{83460420252000} is an apocalyptic number.

83460420252000 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 83460420252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173186355363840).

83460420252000 is an abundant number, since it is smaller than the sum of its proper divisors (262912290475680).

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

83460420252000 is a wasteful number, since it uses less digits than its factorization.

83460420252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 83460420252000 its reverse (25202406438), we get a palindrome (83485622658438).

The spelling of 83460420252000 in words is "eighty-three trillion, four hundred sixty billion, four hundred twenty million, two hundred fifty-two thousand".