51076552560000 has 640 divisors, whose sum is σ = 187290077990400. Its totient is φ = 12225408000000.

The previous prime is 51076552559969. The next prime is 51076552560053. The reversal of 51076552560000 is 6525567015.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 208437550 + ... + 208682450.

It is an arithmetic number, because the mean of its divisors is an integer number (292640746860).

Almost surely, 2^{51076552560000} is an apocalyptic number.

51076552560000 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 51076552560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93645038995200).

51076552560000 is an abundant number, since it is smaller than the sum of its proper divisors (136213525430400).

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

51076552560000 is a wasteful number, since it uses less digits than its factorization.

51076552560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245028 (or 245001 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 42.

The spelling of 51076552560000 in words is "fifty-one trillion, seventy-six billion, five hundred fifty-two million, five hundred sixty thousand".