51458378695680 has 352 divisors, whose sum is σ = 181399885269120. Its totient is φ = 12346148782080.

The previous prime is 51458378695613. The next prime is 51458378695681. The reversal of 51458378695680 is 8659687385415.

It is a tau number, because it is divible by the number of its divisors (352).

It is not an unprimeable number, because it can be changed into a prime (51458378695681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14819226 + ... + 17959014.

Almost surely, 2^{51458378695680} 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 51458378695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90699942634560).

51458378695680 is an abundant number, since it is smaller than the sum of its proper divisors (129941506573440).

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

51458378695680 is a wasteful number, since it uses less digits than its factorization.

51458378695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139925 (or 3139907 counting only the distinct ones).

The product of its (nonzero) digits is 1741824000, while the sum is 75.

The spelling of 51458378695680 in words is "fifty-one trillion, four hundred fifty-eight billion, three hundred seventy-eight million, six hundred ninety-five thousand, six hundred eighty".