51854100480 has 1152 divisors, whose sum is σ = 230384044800. Its totient is φ = 10892869632.

The previous prime is 51854100479. The next prime is 51854100491. The reversal of 51854100480 is 8400145815.

51854100480 is a `hidden beast` number, since 518 + 54 + 10 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226437006 + ... + 226437234.

It is an arithmetic number, because the mean of its divisors is an integer number (199986150).

Almost surely, 2^51854100480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51854100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115192022400).

51854100480 is an abundant number, since it is smaller than the sum of its proper divisors (178529944320).

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

51854100480 is a wasteful number, since it uses less digits than its factorization.

51854100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 51854100480 in words is "fifty-one billion, eight hundred fifty-four million, one hundred thousand, four hundred eighty".