1553100564960 has 576 divisors, whose sum is σ = 6328124974080. Its totient is φ = 339147325440.

The previous prime is 1553100564959. The next prime is 1553100564991. The reversal of 1553100564960 is 694650013551.

1553100564960 is a `hidden beast` number, since 1 + 5 + 5 + 3 + 100 + 56 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215375755 + ... + 215382965.

It is an arithmetic number, because the mean of its divisors is an integer number (10986328080).

Almost surely, 2^{1553100564960} is an apocalyptic number.

1553100564960 is a gapful number since it is divisible by the number (10) 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 1553100564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164062487040).

1553100564960 is an abundant number, since it is smaller than the sum of its proper divisors (4775024409120).

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

1553100564960 is a wasteful number, since it uses less digits than its factorization.

1553100564960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8191 (or 8180 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 1553100564960 in words is "one trillion, five hundred fifty-three billion, one hundred million, five hundred sixty-four thousand, nine hundred sixty".