5157711601632 has 672 divisors, whose sum is σ = 16456069250208. Its totient is φ = 1584697540608.

The previous prime is 5157711601621. The next prime is 5157711601639. The reversal of 5157711601632 is 2361061177515.

5157711601632 is a `hidden beast` number, since 5 + 1 + 5 + 7 + 7 + 1 + 1 + 6 + 0 + 1 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5157711601639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4718857278 + ... + 4718858370.

It is an arithmetic number, because the mean of its divisors is an integer number (24488198289).

Almost surely, 2^{5157711601632} 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 5157711601632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228034625104).

5157711601632 is an abundant number, since it is smaller than the sum of its proper divisors (11298357648576).

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

5157711601632 is a wasteful number, since it uses less digits than its factorization.

5157711601632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 5157711601632 in words is "five trillion, one hundred fifty-seven billion, seven hundred eleven million, six hundred one thousand, six hundred thirty-two".