51153444202400 has 72 divisors (see below), whose sum is σ = 125423666395020. Its totient is φ = 20372026613760.

The previous prime is 51153444202379. The next prime is 51153444202417. The reversal of 51153444202400 is 420244435115.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14352186711184 + 36801257491216 = 3788428^2 + 6066404^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139427729 + ... + 139794128.

Almost surely, 2^{51153444202400} is an apocalyptic number.

51153444202400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51153444202400 is an abundant number, since it is smaller than the sum of its proper divisors (74270222192620).

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

51153444202400 is a wasteful number, since it uses less digits than its factorization.

51153444202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279222106 (or 279222093 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 51153444202400 its reverse (420244435115), we get a palindrome (51573688637515).

The spelling of 51153444202400 in words is "fifty-one trillion, one hundred fifty-three billion, four hundred forty-four million, two hundred two thousand, four hundred".