51245015222016 has 972 divisors, whose sum is σ = 191200600956456. Its totient is φ = 13149736427520.

The previous prime is 51245015221999. The next prime is 51245015222029. The reversal of 51245015222016 is 61022251054215.

51245015222016 is a `hidden beast` number, since 5 + 124 + 5 + 0 + 1 + 522 + 2 + 0 + 1 + 6 = 666.

51245015222016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51245015222016² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1133791930 + ... + 1133837126.

It is an arithmetic number, because the mean of its divisors is an integer number (196708437198).

Almost surely, 2^{51245015222016} is an apocalyptic number.

51245015222016 is a gapful number since it is divisible by the number (56) 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 51245015222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95600300478228).

51245015222016 is an abundant number, since it is smaller than the sum of its proper divisors (139955585734440).

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

51245015222016 is a wasteful number, since it uses less digits than its factorization.

51245015222016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45338 (or 45303 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 51245015222016 in words is "fifty-one trillion, two hundred forty-five billion, fifteen million, two hundred twenty-two thousand, sixteen".