51088293655800 has 384 divisors, whose sum is σ = 166305095792640. Its totient is φ = 12958451712000.

The previous prime is 51088293655771. The next prime is 51088293655801. The reversal of 51088293655800 is 855639288015.

It is a super-2 number, since 2×51088293655800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51088293655801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 925468200 + ... + 925523400.

It is an arithmetic number, because the mean of its divisors is an integer number (433086186960).

Almost surely, 2^{51088293655800} is an apocalyptic number.

51088293655800 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 51088293655800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83152547896320).

51088293655800 is an abundant number, since it is smaller than the sum of its proper divisors (115216802136840).

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

51088293655800 is a wasteful number, since it uses less digits than its factorization.

51088293655800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56191 (or 56182 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 60.

The spelling of 51088293655800 in words is "fifty-one trillion, eighty-eight billion, two hundred ninety-three million, six hundred fifty-five thousand, eight hundred".