51988202348544 has 1680 divisors, whose sum is σ = 196435220645664. Its totient is φ = 13411606855680.

The previous prime is 51988202348519. The next prime is 51988202348569. The reversal of 51988202348544 is 44584320288915.

51988202348544 is a `hidden beast` number, since 5 + 1 + 9 + 8 + 8 + 20 + 23 + 48 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (51988202348519) and next prime (51988202348569).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 130952650554 + ... + 130952650950.

Almost surely, 2^{51988202348544} is an apocalyptic number.

51988202348544 is a gapful number since it is divisible by the number (54) 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 51988202348544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98217610322832).

51988202348544 is an abundant number, since it is smaller than the sum of its proper divisors (144447018297120).

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

51988202348544 is a wasteful number, since it uses less digits than its factorization.

51988202348544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 51988202348544 in words is "fifty-one trillion, nine hundred eighty-eight billion, two hundred two million, three hundred forty-eight thousand, five hundred forty-four".