831947397120 has 1728 divisors, whose sum is σ = 3597885345600. Its totient is φ = 180592312320.

The previous prime is 831947397031. The next prime is 831947397131. The reversal of 831947397120 is 21793749138.

831947397120 is a `hidden beast` number, since 83 + 1 + 9 + 473 + 9 + 71 + 20 = 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13638481890 + ... + 13638481950.

It is an arithmetic number, because the mean of its divisors is an integer number (2082109575).

Almost surely, 2^831947397120 is an apocalyptic number.

831947397120 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 831947397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798942672800).

831947397120 is an abundant number, since it is smaller than the sum of its proper divisors (2765937948480).

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

831947397120 is an frugal number, since it uses more digits than its factorization.

831947397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 831947397120 in words is "eight hundred thirty-one billion, nine hundred forty-seven million, three hundred ninety-seven thousand, one hundred twenty".