52001014982400 has 1944 divisors, whose sum is σ = 208230260045808. Its totient is φ = 12369494016000.

The previous prime is 52001014982351. The next prime is 52001014982407. The reversal of 52001014982400 is 428941010025.

52001014982400 is a `hidden beast` number, since 5 + 20 + 0 + 10 + 149 + 82 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52001014982407) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 139412908614 + ... + 139412908986.

Almost surely, 2^{52001014982400} is an apocalyptic number.

52001014982400 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 52001014982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104115130022904).

52001014982400 is an abundant number, since it is smaller than the sum of its proper divisors (156229245063408).

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

52001014982400 is a wasteful number, since it uses less digits than its factorization.

52001014982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 52001014982400 its reverse (428941010025), we get a palindrome (52429955992425).

The spelling of 52001014982400 in words is "fifty-two trillion, one billion, fourteen million, nine hundred eighty-two thousand, four hundred".