51109064294400 has 1800 divisors, whose sum is σ = 217342472941440. Its totient is φ = 11630527119360.

The previous prime is 51109064294389. The next prime is 51109064294413. The reversal of 51109064294400 is 449246090115.

51109064294400 is a `hidden beast` number, since 5 + 1 + 10 + 90 + 64 + 2 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×51109064294400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 83375308494 + ... + 83375309106.

Almost surely, 2^{51109064294400} is an apocalyptic number.

51109064294400 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 51109064294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108671236470720).

51109064294400 is an abundant number, since it is smaller than the sum of its proper divisors (166233408647040).

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

51109064294400 is an equidigital number, since it uses as much as digits as its factorization.

51109064294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 51109064294400 in words is "fifty-one trillion, one hundred nine billion, sixty-four million, two hundred ninety-four thousand, four hundred".