5171461521408 has 1536 divisors, whose sum is σ = 19511017286400. Its totient is φ = 1341542891520.

The previous prime is 5171461521397. The next prime is 5171461521427. The reversal of 5171461521408 is 8041251641715.

It is a happy number.

5171461521408 is a `hidden beast` number, since 5 + 1 + 7 + 1 + 4 + 615 + 21 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84778057698 + ... + 84778057758.

Almost surely, 2^{5171461521408} 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 5171461521408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9755508643200).

5171461521408 is an abundant number, since it is smaller than the sum of its proper divisors (14339555764992).

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

5171461521408 is an frugal number, since it uses more digits than its factorization.

5171461521408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 5171461521408 in words is "five trillion, one hundred seventy-one billion, four hundred sixty-one million, five hundred twenty-one thousand, four hundred eight".