1552948973568 has 156 divisors (see below), whose sum is σ = 4501973034468. Its totient is φ = 515777495040.

The previous prime is 1552948973561. The next prime is 1552948973599. The reversal of 1552948973568 is 8653798492551.

1552948973568 is a `hidden beast` number, since 1 + 5 + 5 + 29 + 489 + 73 + 56 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 340906512384 + 1212042461184 = 583872^2 + 1100928^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1552948973496 and 1552948973505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1552948973561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10135288 + ... + 10287368.

It is an arithmetic number, because the mean of its divisors is an integer number (28858801503).

Almost surely, 2^{1552948973568} is an apocalyptic number.

1552948973568 is a gapful number since it is divisible by the number (18) 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 1552948973568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250986517234).

1552948973568 is an abundant number, since it is smaller than the sum of its proper divisors (2949024060900).

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

1552948973568 is a wasteful number, since it uses less digits than its factorization.

1552948973568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152388 (or 152363 counting only the distinct ones).

The product of its digits is 653184000, while the sum is 72.

The spelling of 1552948973568 in words is "one trillion, five hundred fifty-two billion, nine hundred forty-eight million, nine hundred seventy-three thousand, five hundred sixty-eight".