51354576000 has 768 divisors, whose sum is σ = 227045145600. Its totient is φ = 10832486400.

The previous prime is 51354575983. The next prime is 51354576041. The reversal of 51354576000 is 67545315.

51354576000 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 45 + 7 + 600 + 0 = 666.

It is a super-2 number, since 2×51354576000² (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 an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 13102041 + ... + 13105959.

It is an arithmetic number, because the mean of its divisors is an integer number (295631700).

Almost surely, 2^51354576000 is an apocalyptic number.

51354576000 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 51354576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113522572800).

51354576000 is an abundant number, since it is smaller than the sum of its proper divisors (175690569600).

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

51354576000 is a wasteful number, since it uses less digits than its factorization.

51354576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 51354576000 in words is "fifty-one billion, three hundred fifty-four million, five hundred seventy-six thousand".