51214647786480 has 240 divisors, whose sum is σ = 174565592700096. Its totient is φ = 13454565212160.

The previous prime is 51214647786461. The next prime is 51214647786499. The reversal of 51214647786480 is 8468774641215.

51214647786480 is a `hidden beast` number, since 5 + 1 + 2 + 1 + 4 + 6 + 4 + 77 + 86 + 480 = 666.

It is a Cunningham number, because it is equal to 7156441²-1.

It is an interprime number because it is at equal distance from previous prime (51214647786461) and next prime (51214647786499).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×51214647786480⁴ (a number of 56 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12523770 + ... + 16101990.

Almost surely, 2^{51214647786480} 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 51214647786480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87282796350048).

51214647786480 is an abundant number, since it is smaller than the sum of its proper divisors (123350944913616).

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

51214647786480 is a wasteful number, since it uses less digits than its factorization.

51214647786480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578536 (or 3578527 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 51214647786480 in words is "fifty-one trillion, two hundred fourteen billion, six hundred forty-seven million, seven hundred eighty-six thousand, four hundred eighty".