51633740582400 has 480 divisors, whose sum is σ = 176362607570688. Its totient is φ = 13307581235200.

The previous prime is 51633740582387. The next prime is 51633740582429. The reversal of 51633740582400 is 428504733615.

It is a tau number, because it is divible by the number of its divisors (480).

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 51633740582400.

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, 168307549 + ... + 168614051.

Almost surely, 2^{51633740582400} is an apocalyptic number.

51633740582400 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 51633740582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88181303785344).

51633740582400 is an abundant number, since it is smaller than the sum of its proper divisors (124728866988288).

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

51633740582400 is a wasteful number, since it uses less digits than its factorization.

51633740582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306682 (or 306661 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 51633740582400 in words is "fifty-one trillion, six hundred thirty-three billion, seven hundred forty million, five hundred eighty-two thousand, four hundred".