60528456806400 has 936 divisors, whose sum is σ = 250422005184624. Its totient is φ = 13810375065600.

The previous prime is 60528456806387. The next prime is 60528456806443. The reversal of 60528456806400 is 460865482506.

60528456806400 is a `hidden beast` number, since 6 + 0 + 52 + 8 + 456 + 80 + 64 + 0 + 0 = 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 71 ways as a sum of consecutive naturals, for example, 172163592 + ... + 172514808.

It is an arithmetic number, because the mean of its divisors is an integer number (267544877334).

Almost surely, 2^{60528456806400} is an apocalyptic number.

60528456806400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60528456806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125211002592312).

60528456806400 is an abundant number, since it is smaller than the sum of its proper divisors (189893548378224).

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

60528456806400 is a wasteful number, since it uses less digits than its factorization.

60528456806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351285 (or 351255 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 60528456806400 in words is "sixty trillion, five hundred twenty-eight billion, four hundred fifty-six million, eight hundred six thousand, four hundred".