5210631482400 has 144 divisors (see below), whose sum is σ = 18845117272800. Its totient is φ = 1389501722880.

The previous prime is 5210631482393. The next prime is 5210631482443. The reversal of 5210631482400 is 42841360125.

It is a happy number.

5210631482400 is a `hidden beast` number, since 5 + 2 + 10 + 631 + 4 + 8 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×5210631482400³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120594870 + ... + 120638069.

It is an arithmetic number, because the mean of its divisors is an integer number (130868869950).

Almost surely, 2^{5210631482400} is an apocalyptic number.

5210631482400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5210631482400 is an abundant number, since it is smaller than the sum of its proper divisors (13634485790400).

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

5210631482400 is a wasteful number, since it uses less digits than its factorization.

5210631482400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241232968 (or 241232949 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 5210631482400 in words is "five trillion, two hundred ten billion, six hundred thirty-one million, four hundred eighty-two thousand, four hundred".