51437163888000 has 3072 divisors, whose sum is σ = 222769782144000. Its totient is φ = 11621947392000.

The previous prime is 51437163887969. The next prime is 51437163888079. The reversal of 51437163888000 is 88836173415.

It is a happy number.

51437163888000 is a `hidden beast` number, since 51 + 437 + 1 + 6 + 3 + 88 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 66542255614 + ... + 66542256386.

It is an arithmetic number, because the mean of its divisors is an integer number (72516205125).

Almost surely, 2^{51437163888000} is an apocalyptic number.

51437163888000 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 51437163888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111384891072000).

51437163888000 is an abundant number, since it is smaller than the sum of its proper divisors (171332618256000).

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

51437163888000 is a wasteful number, since it uses less digits than its factorization.

51437163888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 51437163888000 in words is "fifty-one trillion, four hundred thirty-seven billion, one hundred sixty-three million, eight hundred eighty-eight thousand".