851451950400 has 168 divisors, whose sum is σ = 2813571065760. Its totient is φ = 225420195840.

The previous prime is 851451950359. The next prime is 851451950471. The reversal of 851451950400 is 4059154158.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29122 + ... + 1305278.

It is an arithmetic number, because the mean of its divisors is an integer number (16747446820).

Almost surely, 2^851451950400 is an apocalyptic number.

851451950400 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 851451950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406785532880).

851451950400 is an abundant number, since it is smaller than the sum of its proper divisors (1962119115360).

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

851451950400 is a wasteful number, since it uses less digits than its factorization.

851451950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276321 (or 1276306 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 851451950400 in words is "eight hundred fifty-one billion, four hundred fifty-one million, nine hundred fifty thousand, four hundred".