54598629960 has 512 divisors, whose sum is σ = 212241715200. Its totient is φ = 12380449536.

The previous prime is 54598629959. The next prime is 54598629979. The reversal of 54598629960 is 6992689545.

54598629960 is a `hidden beast` number, since 545 + 9 + 8 + 6 + 29 + 9 + 60 = 666.

54598629960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99814407 + ... + 99814953.

It is an arithmetic number, because the mean of its divisors is an integer number (414534600).

Almost surely, 2^54598629960 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 54598629960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106120857600).

54598629960 is an abundant number, since it is smaller than the sum of its proper divisors (157643085240).

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

54598629960 is a wasteful number, since it uses less digits than its factorization.

54598629960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 54598629960 in words is "fifty-four billion, five hundred ninety-eight million, six hundred twenty-nine thousand, nine hundred sixty".