3157486133760 has 640 divisors, whose sum is σ = 12844074355200. Its totient is φ = 720237035520.

The previous prime is 3157486133743. The next prime is 3157486133801. The reversal of 3157486133760 is 673316847513.

3157486133760 is a `hidden beast` number, since 3 + 1 + 574 + 8 + 6 + 1 + 3 + 3 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3157486133760² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3157486133697 and 3157486133706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246268150 + ... + 246280970.

It is an arithmetic number, because the mean of its divisors is an integer number (20068866180).

Almost surely, 2^{3157486133760} is an apocalyptic number.

3157486133760 is a gapful number since it is divisible by the number (30) 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 3157486133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6422037177600).

3157486133760 is an abundant number, since it is smaller than the sum of its proper divisors (9686588221440).

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

3157486133760 is a wasteful number, since it uses less digits than its factorization.

3157486133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13369 (or 13347 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3157486133760 in words is "three trillion, one hundred fifty-seven billion, four hundred eighty-six million, one hundred thirty-three thousand, seven hundred sixty".