51972429600 has 1152 divisors, whose sum is σ = 234240007680. Its totient is φ = 10829168640.

The previous prime is 51972429577. The next prime is 51972429601. The reversal of 51972429600 is 692427915.

51972429600 is a `hidden beast` number, since 5 + 19 + 7 + 2 + 4 + 29 + 600 = 666.

It is a super-2 number, since 2×51972429600² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (51972429601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 269287104 + ... + 269287296.

It is an arithmetic number, because the mean of its divisors is an integer number (203333340).

Almost surely, 2^51972429600 is an apocalyptic number.

51972429600 is a gapful number since it is divisible by the number (50) 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 51972429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117120003840).

51972429600 is an abundant number, since it is smaller than the sum of its proper divisors (182267578080).

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

51972429600 is a wasteful number, since it uses less digits than its factorization.

51972429600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 51972429600 in words is "fifty-one billion, nine hundred seventy-two million, four hundred twenty-nine thousand, six hundred".