1355972889600 has 396 divisors, whose sum is σ = 5548605962224. Its totient is φ = 309936291840.

The previous prime is 1355972889599. The next prime is 1355972889613. The reversal of 1355972889600 is 69882795531.

1355972889600 is a `hidden beast` number, since 1 + 3 + 559 + 72 + 8 + 8 + 9 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1192422 + ... + 2033178.

Almost surely, 2^{1355972889600} is an apocalyptic number.

1355972889600 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 1355972889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774302981112).

1355972889600 is an abundant number, since it is smaller than the sum of its proper divisors (4192633072624).

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

1355972889600 is a wasteful number, since it uses less digits than its factorization.

1355972889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840800 (or 840774 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 1355972889600 in words is "one trillion, three hundred fifty-five billion, nine hundred seventy-two million, eight hundred eighty-nine thousand, six hundred".