4953171389760 has 1344 divisors, whose sum is σ = 20712257280000. Its totient is φ = 1072638443520.

The previous prime is 4953171389743. The next prime is 4953171389783. The reversal of 4953171389760 is 679831713594.

4953171389760 is a `hidden beast` number, since 4 + 9 + 531 + 7 + 1 + 3 + 8 + 97 + 6 + 0 = 666.

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, 750590941 + ... + 750597539.

Almost surely, 2^{4953171389760} is an apocalyptic number.

4953171389760 is a gapful number since it is divisible by the number (40) 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 4953171389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10356128640000).

4953171389760 is an abundant number, since it is smaller than the sum of its proper divisors (15759085890240).

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

4953171389760 is a wasteful number, since it uses less digits than its factorization.

4953171389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6724 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 4953171389760 in words is "four trillion, nine hundred fifty-three billion, one hundred seventy-one million, three hundred eighty-nine thousand, seven hundred sixty".