83763942912000 has 2912 divisors, whose sum is σ = 344286307974336. Its totient is φ = 20209139712000.

The previous prime is 83763942911963. The next prime is 83763942912029. The reversal of 83763942912000 is 21924936738.

83763942912000 is a `hidden beast` number, since 8 + 3 + 7 + 6 + 3 + 9 + 429 + 1 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 295985663859 + ... + 295985664141.

It is an arithmetic number, because the mean of its divisors is an integer number (118230188178).

Almost surely, 2^{83763942912000} is an apocalyptic number.

83763942912000 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 83763942912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172143153987168).

83763942912000 is an abundant number, since it is smaller than the sum of its proper divisors (260522365062336).

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

83763942912000 is an equidigital number, since it uses as much as digits as its factorization.

83763942912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 83763942912000 in words is "eighty-three trillion, seven hundred sixty-three billion, nine hundred forty-two million, nine hundred twelve thousand".