51063904320 has 896 divisors, whose sum is σ = 200565227520. Its totient is φ = 10902528000.

The previous prime is 51063904313. The next prime is 51063904327. The reversal of 51063904320 is 2340936015.

It is an interprime number because it is at equal distance from previous prime (51063904313) and next prime (51063904327).

It is a super-2 number, since 2×51063904320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (51063904327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 719209885 + ... + 719209955.

It is an arithmetic number, because the mean of its divisors is an integer number (223845120).

Almost surely, 2^51063904320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51063904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100282613760).

51063904320 is an abundant number, since it is smaller than the sum of its proper divisors (149501323200).

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

51063904320 is a wasteful number, since it uses less digits than its factorization.

51063904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 51063904320 in words is "fifty-one billion, sixty-three million, nine hundred four thousand, three hundred twenty".