5408978629600 has 576 divisors, whose sum is σ = 17012943101952. Its totient is φ = 1633250304000.

The previous prime is 5408978629597. The next prime is 5408978629609. The reversal of 5408978629600 is 69268798045.

It is a super-3 number, since 3×5408978629600³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5408978629609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160215922 + ... + 160249678.

It is an arithmetic number, because the mean of its divisors is an integer number (29536359552).

Almost surely, 2^{5408978629600} is an apocalyptic number.

5408978629600 is a gapful number since it is divisible by the number (50) 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 5408978629600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8506471550976).

5408978629600 is an abundant number, since it is smaller than the sum of its proper divisors (11603964472352).

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

5408978629600 is a wasteful number, since it uses less digits than its factorization.

5408978629600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33899 (or 33886 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

The spelling of 5408978629600 in words is "five trillion, four hundred eight billion, nine hundred seventy-eight million, six hundred twenty-nine thousand, six hundred".