553799689523136 has 1344 divisors, whose sum is σ = 1949210805964800. Its totient is φ = 153687663360000.

The previous prime is 553799689523123. The next prime is 553799689523149. The reversal of 553799689523136 is 631325986997355.

553799689523136 is a `hidden beast` number, since 5 + 5 + 3 + 7 + 9 + 9 + 6 + 89 + 523 + 1 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (553799689523123) and next prime (553799689523149).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×553799689523136² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119071098411 + ... + 119071103061.

It is an arithmetic number, because the mean of its divisors is an integer number (1450305659200).

Almost surely, 2^{553799689523136} is an apocalyptic number.

553799689523136 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 553799689523136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974605402982400).

553799689523136 is an abundant number, since it is smaller than the sum of its proper divisors (1395411116441664).

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

553799689523136 is a wasteful number, since it uses less digits than its factorization.

553799689523136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043 (or 5020 counting only the distinct ones).

The product of its digits is 9920232000, while the sum is 81.

The spelling of 553799689523136 in words is "five hundred fifty-three trillion, seven hundred ninety-nine billion, six hundred eighty-nine million, five hundred twenty-three thousand, one hundred thirty-six".