51089571993600 has 2592 divisors, whose sum is σ = 226996147254240. Its totient is φ = 10911177768960.

The previous prime is 51089571993599. The next prime is 51089571993631. The reversal of 51089571993600 is 639917598015.

51089571993600 is a `hidden beast` number, since 5 + 1 + 0 + 8 + 9 + 5 + 7 + 19 + 9 + 3 + 600 = 666.

It is a super-2 number, since 2×51089571993600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 64102348402 + ... + 64102349198.

It is an arithmetic number, because the mean of its divisors is an integer number (87575674095).

Almost surely, 2^{51089571993600} is an apocalyptic number.

51089571993600 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 51089571993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113498073627120).

51089571993600 is an abundant number, since it is smaller than the sum of its proper divisors (175906575260640).

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

51089571993600 is a wasteful number, since it uses less digits than its factorization.

51089571993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 63.

The spelling of 51089571993600 in words is "fifty-one trillion, eighty-nine billion, five hundred seventy-one million, nine hundred ninety-three thousand, six hundred".