5407526032128 has 216 divisors, whose sum is σ = 17011454665296. Its totient is φ = 1638370713600.

The previous prime is 5407526032039. The next prime is 5407526032147. The reversal of 5407526032128 is 8212306257045.

5407526032128 is a `hidden beast` number, since 5 + 40 + 7 + 5 + 260 + 321 + 28 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193132626 + ... + 193160622.

Almost surely, 2^{5407526032128} 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 5407526032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8505727332648).

5407526032128 is an abundant number, since it is smaller than the sum of its proper divisors (11603928633168).

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

5407526032128 is a wasteful number, since it uses less digits than its factorization.

5407526032128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35651 (or 35634 counting only the distinct ones).

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

The spelling of 5407526032128 in words is "five trillion, four hundred seven billion, five hundred twenty-six million, thirty-two thousand, one hundred twenty-eight".