51357824000 has 528 divisors, whose sum is σ = 154750841856. Its totient is φ = 16644096000.

The previous prime is 51357823997. The next prime is 51357824047. The reversal of 51357824000 is 42875315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1194367979 + ... + 1194368021.

Almost surely, 2^51357824000 is an apocalyptic number.

51357824000 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 51357824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77375420928).

51357824000 is an abundant number, since it is smaller than the sum of its proper divisors (103393017856).

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

51357824000 is an equidigital number, since it uses as much as digits as its factorization.

51357824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 51357824000 in words is "fifty-one billion, three hundred fifty-seven million, eight hundred twenty-four thousand".