5135892480 has 448 divisors, whose sum is σ = 18910255320. Its totient is φ = 1337720832.

The previous prime is 5135892467. The next prime is 5135892497. The reversal of 5135892480 is 842985315.

5135892480 is a `hidden beast` number, since 51 + 35 + 8 + 92 + 480 = 666.

It is a super-2 number, since 2×5135892480² = 52754783132241100800, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 119439339 + ... + 119439381.

Almost surely, 2^5135892480 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 5135892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9455127660).

5135892480 is an abundant number, since it is smaller than the sum of its proper divisors (13774362840).

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

5135892480 is an frugal number, since it uses more digits than its factorization.

5135892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5135892480 is about 71665.1413171006. The cubic root of 5135892480 is about 1725.3292074898.

The spelling of 5135892480 in words is "five billion, one hundred thirty-five million, eight hundred ninety-two thousand, four hundred eighty".