5061051072000 has 3200 divisors, whose sum is σ = 24321517608960. Its totient is φ = 1015234560000.

The previous prime is 5061051071981. The next prime is 5061051072017. The reversal of 5061051072000 is 2701501605.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×5061051072000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12374207796 + ... + 12374208204.

Almost surely, 2^{5061051072000} is an apocalyptic number.

5061051072000 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 5061051072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12160758804480).

5061051072000 is an abundant number, since it is smaller than the sum of its proper divisors (19260466536960).

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

5061051072000 is a wasteful number, since it uses less digits than its factorization.

5061051072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 5061051072000 its reverse (2701501605), we get a palindrome (5063752573605).

The spelling of 5061051072000 in words is "five trillion, sixty-one billion, fifty-one million, seventy-two thousand".