5378406137856 has 360 divisors, whose sum is σ = 16204754704320. Its totient is φ = 1782550167552.

The previous prime is 5378406137833. The next prime is 5378406137899. The reversal of 5378406137856 is 6587316048735.

It is a happy number.

5378406137856 is a `hidden beast` number, since 5 + 3 + 7 + 8 + 4 + 0 + 613 + 7 + 8 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5378406137793 and 5378406137802.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 712651075 + ... + 712658621.

It is an arithmetic number, because the mean of its divisors is an integer number (45013207512).

Almost surely, 2^{5378406137856} 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 5378406137856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8102377352160).

5378406137856 is an abundant number, since it is smaller than the sum of its proper divisors (10826348566464).

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

5378406137856 is an frugal number, since it uses more digits than its factorization.

5378406137856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7769 (or 7731 counting only the distinct ones).

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

The spelling of 5378406137856 in words is "five trillion, three hundred seventy-eight billion, four hundred six million, one hundred thirty-seven thousand, eight hundred fifty-six".