851738479200000 has 1728 divisors, whose sum is σ = 3647304997539840. Its totient is φ = 192013701120000.

The previous prime is 851738479199987. The next prime is 851738479200043. The reversal of 851738479200000 is 2974837158.

It is a happy number.

851738479200000 is a `hidden beast` number, since 8 + 51 + 7 + 384 + 7 + 9 + 200 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a self number, because there is not a number n which added to its sum of digits gives 851738479200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11037561417 + ... + 11037638583.

Almost surely, 2^{851738479200000} is an apocalyptic number.

851738479200000 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 851738479200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823652498769920).

851738479200000 is an abundant number, since it is smaller than the sum of its proper divisors (2795566518339840).

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

851738479200000 is an frugal number, since it uses more digits than its factorization.

851738479200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77297 (or 77257 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 851738479200000 in words is "eight hundred fifty-one trillion, seven hundred thirty-eight billion, four hundred seventy-nine million, two hundred thousand".