1193057648640 has 2176 divisors, whose sum is σ = 5327060981760. Its totient is φ = 249141657600.

The previous prime is 1193057648621. The next prime is 1193057648641. The reversal of 1193057648640 is 468467503911.

1193057648640 is a `hidden beast` number, since 1 + 1 + 9 + 3 + 0 + 576 + 4 + 8 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1193057648641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29098967020 + ... + 29098967060.

Almost surely, 2^{1193057648640} is an apocalyptic number.

1193057648640 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 1193057648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663530490880).

1193057648640 is an abundant number, since it is smaller than the sum of its proper divisors (4134003333120).

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

1193057648640 is a wasteful number, since it uses less digits than its factorization.

1193057648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1193057648640 in words is "one trillion, one hundred ninety-three billion, fifty-seven million, six hundred forty-eight thousand, six hundred forty".