51675772800 has 384 divisors, whose sum is σ = 176894928000. Its totient is φ = 13243310080.

The previous prime is 51675772781. The next prime is 51675772801. The reversal of 51675772800 is 827757615.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 51675772800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51675772801) 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, 116649379 + ... + 116649821.

It is an arithmetic number, because the mean of its divisors is an integer number (460663875).

Almost surely, 2^51675772800 is an apocalyptic number.

51675772800 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 51675772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88447464000).

51675772800 is an abundant number, since it is smaller than the sum of its proper divisors (125219155200).

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

51675772800 is a wasteful number, since it uses less digits than its factorization.

51675772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 48.

The spelling of 51675772800 in words is "fifty-one billion, six hundred seventy-five million, seven hundred seventy-two thousand, eight hundred".