51278632957440 has 1920 divisors, whose sum is σ = 214849060208640. Its totient is φ = 11057032396800.

The previous prime is 51278632957429. The next prime is 51278632957451. The reversal of 51278632957440 is 4475923687215.

It is a happy number.

51278632957440 is a `hidden beast` number, since 5 + 1 + 2 + 78 + 6 + 32 + 95 + 7 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (51278632957429) and next prime (51278632957451).

It is a tau number, because it is divible by the number of its divisors (1920).

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, 38642526057 + ... + 38642527383.

It is an arithmetic number, because the mean of its divisors is an integer number (111900552192).

It is a 1-persistent number, because it is pandigital, but 2⋅51278632957440 = 102557265914880 is not.

Almost surely, 2^{51278632957440} 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 51278632957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107424530104320).

51278632957440 is an abundant number, since it is smaller than the sum of its proper divisors (163570427251200).

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

51278632957440 is a wasteful number, since it uses less digits than its factorization.

51278632957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 51278632957440 in words is "fifty-one trillion, two hundred seventy-eight billion, six hundred thirty-two million, nine hundred fifty-seven thousand, four hundred forty".