51471604800 has 1008 divisors, whose sum is σ = 232127535744. Its totient is φ = 10506240000.

The previous prime is 51471604799. The next prime is 51471604801. The reversal of 51471604800 is 840617415.

It is a happy number.

51471604800 is a `hidden beast` number, since 5 + 1 + 47 + 1 + 604 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51471604799) and next prime (51471604801).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×51471604800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51471604801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67636420 + ... + 67637180.

Almost surely, 2^51471604800 is an apocalyptic number.

51471604800 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 51471604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116063767872).

51471604800 is an abundant number, since it is smaller than the sum of its proper divisors (180655930944).

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

51471604800 is a wasteful number, since it uses less digits than its factorization.

51471604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 51471604800 in words is "fifty-one billion, four hundred seventy-one million, six hundred four thousand, eight hundred".