51264332255400 has 576 divisors, whose sum is σ = 185187559737600. Its totient is φ = 11681989017600.

The previous prime is 51264332255347. The next prime is 51264332255407. The reversal of 51264332255400 is 455223346215.

It is not an unprimeable number, because it can be changed into a prime (51264332255407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 998442129 + ... + 998493471.

It is an arithmetic number, because the mean of its divisors is an integer number (321506180100).

Almost surely, 2^{51264332255400} is an apocalyptic number.

51264332255400 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 51264332255400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92593779868800).

51264332255400 is an abundant number, since it is smaller than the sum of its proper divisors (133923227482200).

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

51264332255400 is a wasteful number, since it uses less digits than its factorization.

51264332255400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52210 (or 52190 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 51264332255400 in words is "fifty-one trillion, two hundred sixty-four billion, three hundred thirty-two million, two hundred fifty-five thousand, four hundred".