5142696480 has 288 divisors, whose sum is σ = 18299736000. Its totient is φ = 1363848192.

The previous prime is 5142696479. The next prime is 5142696511. The reversal of 5142696480 is 846962415.

5142696480 is a `hidden beast` number, since 514 + 2 + 6 + 96 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13568931 + ... + 13569309.

It is an arithmetic number, because the mean of its divisors is an integer number (63540750).

Almost surely, 2^5142696480 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 5142696480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9149868000).

5142696480 is an abundant number, since it is smaller than the sum of its proper divisors (13157039520).

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

5142696480 is a wasteful number, since it uses less digits than its factorization.

5142696480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5142696480 is about 71712.5963830623. The cubic root of 5142696480 is about 1726.0907732614.

The spelling of 5142696480 in words is "five billion, one hundred forty-two million, six hundred ninety-six thousand, four hundred eighty".