5131770415640 has 128 divisors (see below), whose sum is σ = 12938481345600. Its totient is φ = 1815399290880.

The previous prime is 5131770415627. The next prime is 5131770415663. The reversal of 5131770415640 is 465140771315.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 5131770415591 and 5131770415600.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 137205422 + ... + 137242818.

Almost surely, 2^{5131770415640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5131770415640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6469240672800).

5131770415640 is an abundant number, since it is smaller than the sum of its proper divisors (7806710929960).

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

5131770415640 is a wasteful number, since it uses less digits than its factorization.

5131770415640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45885 (or 45881 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 44.

The spelling of 5131770415640 in words is "five trillion, one hundred thirty-one billion, seven hundred seventy million, four hundred fifteen thousand, six hundred forty".