51978378030264 has 768 divisors, whose sum is σ = 181878767616000. Its totient is φ = 13571330872320.

The previous prime is 51978378030239. The next prime is 51978378030289. The reversal of 51978378030264 is 46203087387915.

51978378030264 is a `hidden beast` number, since 5 + 197 + 8 + 3 + 7 + 80 + 302 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (51978378030239) and next prime (51978378030289).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2508719697 + ... + 2508740415.

It is an arithmetic number, because the mean of its divisors is an integer number (236821312000).

It is a 1-persistent number, because it is pandigital, but 2⋅51978378030264 = 103956756060528 is not.

Almost surely, 2^{51978378030264} is an apocalyptic number.

51978378030264 is a gapful number since it is divisible by the number (54) 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 51978378030264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90939383808000).

51978378030264 is an abundant number, since it is smaller than the sum of its proper divisors (129900389585736).

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

51978378030264 is a wasteful number, since it uses less digits than its factorization.

51978378030264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21110 (or 21094 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 51978378030264 in words is "fifty-one trillion, nine hundred seventy-eight billion, three hundred seventy-eight million, thirty thousand, two hundred sixty-four".