553065721050752 has 384 divisors, whose sum is σ = 1385855491406400. Its totient is φ = 217913810042880.

The previous prime is 553065721050743. The next prime is 553065721050761. The reversal of 553065721050752 is 257050127560355.

It is an interprime number because it is at equal distance from previous prime (553065721050743) and next prime (553065721050761).

It is a junction number, because it is equal to n+sod(n) for n = 553065721050694 and 553065721050703.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64587841223 + ... + 64587849785.

Almost surely, 2^{553065721050752} is an apocalyptic number.

553065721050752 is a gapful number since it is divisible by the number (52) 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 553065721050752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692927745703200).

553065721050752 is an abundant number, since it is smaller than the sum of its proper divisors (832789770355648).

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

553065721050752 is a wasteful number, since it uses less digits than its factorization.

553065721050752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11704 (or 11685 counting only the distinct ones).

The product of its (nonzero) digits is 11025000, while the sum is 53.

The spelling of 553065721050752 in words is "five hundred fifty-three trillion, sixty-five billion, seven hundred twenty-one million, fifty thousand, seven hundred fifty-two".