51110080358400 has 4032 divisors, whose sum is σ = 236884390928640. Its totient is φ = 10663546060800.

The previous prime is 51110080358357. The next prime is 51110080358423. The reversal of 51110080358400 is 485308001115.

51110080358400 is a `hidden beast` number, since 511 + 10 + 0 + 80 + 3 + 58 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×51110080358400² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 164341094245 + ... + 164341094555.

It is an arithmetic number, because the mean of its divisors is an integer number (58751089020).

Almost surely, 2^{51110080358400} is an apocalyptic number.

51110080358400 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 51110080358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118442195464320).

51110080358400 is an abundant number, since it is smaller than the sum of its proper divisors (185774310570240).

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

51110080358400 is a wasteful number, since it uses less digits than its factorization.

51110080358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Adding to 51110080358400 its reverse (485308001115), we get a palindrome (51595388359515).

The spelling of 51110080358400 in words is "fifty-one trillion, one hundred ten billion, eighty million, three hundred fifty-eight thousand, four hundred".