5046967325400 has 1152 divisors, whose sum is σ = 21214027215360. Its totient is φ = 958583808000.

The previous prime is 5046967325381. The next prime is 5046967325401. The reversal of 5046967325400 is 45237696405.

It is a super-3 number, since 3×5046967325400³ (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 (5046967325401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9687077140 + ... + 9687077660.

It is an arithmetic number, because the mean of its divisors is an integer number (18414954180).

Almost surely, 2^{5046967325400} is an apocalyptic number.

5046967325400 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 5046967325400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10607013607680).

5046967325400 is an abundant number, since it is smaller than the sum of its proper divisors (16167059889960).

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

5046967325400 is a wasteful number, since it uses less digits than its factorization.

5046967325400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 5046967325400 in words is "five trillion, forty-six billion, nine hundred sixty-seven million, three hundred twenty-five thousand, four hundred".