51199267434 has 128 divisors (see below), whose sum is σ = 126263132160. Its totient is φ = 13513397184.

The previous prime is 51199267417. The next prime is 51199267459. The reversal of 51199267434 is 43476299115.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33180867 + ... + 33182409.

It is an arithmetic number, because the mean of its divisors is an integer number (986430720).

Almost surely, 2^51199267434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51199267434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63131566080).

51199267434 is an abundant number, since it is smaller than the sum of its proper divisors (75063864726).

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

51199267434 is a wasteful number, since it uses less digits than its factorization.

51199267434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584.

The product of its digits is 1632960, while the sum is 51.

It can be divided in two parts, 511992 and 67434, that added together give a triangular number (579426 = T₁₀₇₆).

The spelling of 51199267434 in words is "fifty-one billion, one hundred ninety-nine million, two hundred sixty-seven thousand, four hundred thirty-four".