51453105120 has 480 divisors, whose sum is σ = 187530190848. Its totient is φ = 13277924352.

The previous prime is 51453105101. The next prime is 51453105133. The reversal of 51453105120 is 2150135415.

51453105120 is a `hidden beast` number, since 5 + 1 + 4 + 531 + 0 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70774197 + ... + 70774923.

Almost surely, 2^51453105120 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 51453105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93765095424).

51453105120 is an abundant number, since it is smaller than the sum of its proper divisors (136077085728).

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

51453105120 is a wasteful number, since it uses less digits than its factorization.

51453105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 51453105120 in words is "fifty-one billion, four hundred fifty-three million, one hundred five thousand, one hundred twenty".