5101076405376 has 384 divisors, whose sum is σ = 17018334627840. Its totient is φ = 1436468705280.

The previous prime is 5101076405309. The next prime is 5101076405377. The reversal of 5101076405376 is 6735046701015.

5101076405376 is a `hidden beast` number, since 5 + 1 + 0 + 1 + 0 + 76 + 40 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (5101076405377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288464631 + ... + 288482313.

It is an arithmetic number, because the mean of its divisors is an integer number (44318579760).

Almost surely, 2^{5101076405376} is an apocalyptic number.

5101076405376 is a gapful number since it is divisible by the number (56) 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 5101076405376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8509167313920).

5101076405376 is an abundant number, since it is smaller than the sum of its proper divisors (11917258222464).

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

5101076405376 is a wasteful number, since it uses less digits than its factorization.

5101076405376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18224 (or 18209 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 5101076405376 in words is "five trillion, one hundred one billion, seventy-six million, four hundred five thousand, three hundred seventy-six".