51335648000 has 864 divisors, whose sum is σ = 169939206528. Its totient is φ = 15040512000.

The previous prime is 51335647981. The next prime is 51335648053. The reversal of 51335648000 is 84653315.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 841567970 + ... + 841568030.

Almost surely, 2^51335648000 is an apocalyptic number.

51335648000 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 51335648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84969603264).

51335648000 is an abundant number, since it is smaller than the sum of its proper divisors (118603558528).

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

51335648000 is a wasteful number, since it uses less digits than its factorization.

51335648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 51335648000 in words is "fifty-one billion, three hundred thirty-five million, six hundred forty-eight thousand".