51552401400 has 432 divisors, whose sum is σ = 190437521040. Its totient is φ = 12933043200.

The previous prime is 51552401323. The next prime is 51552401401. The reversal of 51552401400 is 410425515.

51552401400 is a `hidden beast` number, since 5 + 15 + 5 + 240 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51552401401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 22306245 + ... + 22308555.

It is an arithmetic number, because the mean of its divisors is an integer number (440827595).

Almost surely, 2^51552401400 is an apocalyptic number.

51552401400 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 51552401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95218760520).

51552401400 is an abundant number, since it is smaller than the sum of its proper divisors (138885119640).

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

51552401400 is a wasteful number, since it uses less digits than its factorization.

51552401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 51552401400 its reverse (410425515), we get a palindrome (51962826915).

The spelling of 51552401400 in words is "fifty-one billion, five hundred fifty-two million, four hundred one thousand, four hundred".