5462138880 has 448 divisors, whose sum is σ = 21232368000. Its totient is φ = 1321205760.

The previous prime is 5462138863. The next prime is 5462138897. The reversal of 5462138880 is 888312645.

5462138880 is a `hidden beast` number, since 546 + 21 + 3 + 8 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5462138863) and next prime (5462138897).

It is a super-2 number, since 2×5462138880² = 59669922288815308800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 12164896 + ... + 12165344.

Almost surely, 2^5462138880 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 5462138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10616184000).

5462138880 is an abundant number, since it is smaller than the sum of its proper divisors (15770229120).

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

5462138880 is a wasteful number, since it uses less digits than its factorization.

5462138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5462138880 is about 73906.2844418524. The cubic root of 5462138880 is about 1761.1144456905.

The spelling of 5462138880 in words is "five billion, four hundred sixty-two million, one hundred thirty-eight thousand, eight hundred eighty".