51337336400 has 120 divisors (see below), whose sum is σ = 141803007360. Its totient is φ = 17495815680.

The previous prime is 51337336373. The next prime is 51337336403. The reversal of 51337336400 is 463373315.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51337336403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412706 + ... + 522494.

It is an arithmetic number, because the mean of its divisors is an integer number (1181691728).

Almost surely, 2^51337336400 is an apocalyptic number.

51337336400 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 51337336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70901503680).

51337336400 is an abundant number, since it is smaller than the sum of its proper divisors (90465670960).

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

51337336400 is a wasteful number, since it uses less digits than its factorization.

51337336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109981 (or 109970 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 35.

The spelling of 51337336400 in words is "fifty-one billion, three hundred thirty-seven million, three hundred thirty-six thousand, four hundred".