5171642562240 has 2016 divisors, whose sum is σ = 23584436838144. Its totient is φ = 1066623344640.

The previous prime is 5171642562209. The next prime is 5171642562259. The reversal of 5171642562240 is 422652461715.

5171642562240 is a `hidden beast` number, since 5 + 1 + 7 + 1 + 6 + 42 + 562 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6831759942 + ... + 6831760698.

It is an arithmetic number, because the mean of its divisors is an integer number (11698629384).

Almost surely, 2^{5171642562240} 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 5171642562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11792218419072).

5171642562240 is an abundant number, since it is smaller than the sum of its proper divisors (18412794275904).

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

5171642562240 is a wasteful number, since it uses less digits than its factorization.

5171642562240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5171642562240 in words is "five trillion, one hundred seventy-one billion, six hundred forty-two million, five hundred sixty-two thousand, two hundred forty".