51606641952000 has 864 divisors, whose sum is σ = 192693795630336. Its totient is φ = 13252184064000.

The previous prime is 51606641951989. The next prime is 51606641952113. The reversal of 51606641952000 is 25914660615.

51606641952000 is a `hidden beast` number, since 5 + 1 + 60 + 6 + 64 + 1 + 9 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 879234654 + ... + 879293346.

It is an arithmetic number, because the mean of its divisors is an integer number (223025226424).

Almost surely, 2^{51606641952000} is an apocalyptic number.

51606641952000 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 51606641952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96346897815168).

51606641952000 is an abundant number, since it is smaller than the sum of its proper divisors (141087153678336).

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

51606641952000 is a wasteful number, since it uses less digits than its factorization.

51606641952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58844 (or 58817 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 51606641952000 in words is "fifty-one trillion, six hundred six billion, six hundred forty-one million, nine hundred fifty-two thousand".