1034727063552 has 1512 divisors, whose sum is σ = 4115606302836. Its totient is φ = 256842399744.

The previous prime is 1034727063547. The next prime is 1034727063553. The reversal of 1034727063552 is 2553607274301.

1034727063552 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 7 + 2 + 7 + 0 + 635 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1032386052096 + 2341011456 = 1016064^2 + 48384^2 .

It is a tau number, because it is divible by the number of its divisors (1512).

It is a junction number, because it is equal to n+sod(n) for n = 1034727063498 and 1034727063507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034727063553) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 60866297848 + ... + 60866297864.

Almost surely, 2^{1034727063552} is an apocalyptic number.

1034727063552 is a gapful number since it is divisible by the number (12) 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 1034727063552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057803151418).

1034727063552 is an abundant number, since it is smaller than the sum of its proper divisors (3080879239284).

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

1034727063552 is an frugal number, since it uses more digits than its factorization.

1034727063552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 1034727063552 in words is "one trillion, thirty-four billion, seven hundred twenty-seven million, sixty-three thousand, five hundred fifty-two".