5401963929600 has 1008 divisors, whose sum is σ = 22182624988992. Its totient is φ = 1230915502080.

The previous prime is 5401963929587. The next prime is 5401963929601. The reversal of 5401963929600 is 69293691045.

5401963929600 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 9 + 6 + 3 + 9 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (5401963929601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7909170859 + ... + 7909171541.

Almost surely, 2^{5401963929600} is an apocalyptic number.

5401963929600 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 5401963929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11091312494496).

5401963929600 is an abundant number, since it is smaller than the sum of its proper divisors (16780661059392).

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

5401963929600 is a wasteful number, since it uses less digits than its factorization.

5401963929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 5401963929600 in words is "five trillion, four hundred one billion, nine hundred sixty-three million, nine hundred twenty-nine thousand, six hundred".