51197432832 has 1584 divisors, whose sum is σ = 214054626240. Its totient is φ = 12039487488.

The previous prime is 51197432831. The next prime is 51197432833. The reversal of 51197432832 is 23823479115.

It is a happy number.

51197432832 is a `hidden beast` number, since 51 + 1 + 97 + 432 + 83 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (51197432831) and next prime (51197432833).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51197432831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2694601719 + ... + 2694601737.

Almost surely, 2^51197432832 is an apocalyptic number.

51197432832 is a gapful number since it is divisible by the number (52) 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 51197432832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107027313120).

51197432832 is an abundant number, since it is smaller than the sum of its proper divisors (162857193408).

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

51197432832 is a wasteful number, since it uses less digits than its factorization.

51197432832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 61 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 51197432832 in words is "fifty-one billion, one hundred ninety-seven million, four hundred thirty-two thousand, eight hundred thirty-two".