51653451820800 has 1296 divisors, whose sum is σ = 190336268726912. Its totient is φ = 12318179328000.

The previous prime is 51653451820781. The next prime is 51653451820811. The reversal of 51653451820800 is 802815435615.

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 51653451820800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8828137875 + ... + 8828143725.

Almost surely, 2^{51653451820800} is an apocalyptic number.

51653451820800 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 51653451820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95168134363456).

51653451820800 is an abundant number, since it is smaller than the sum of its proper divisors (138682816906112).

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

51653451820800 is a wasteful number, since it uses less digits than its factorization.

51653451820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5994 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 51653451820800 in words is "fifty-one trillion, six hundred fifty-three billion, four hundred fifty-one million, eight hundred twenty thousand, eight hundred".