1360580198400 has 900 divisors, whose sum is σ = 5262472471872. Its totient is φ = 346851901440.

The previous prime is 1360580198381. The next prime is 1360580198441. The reversal of 1360580198400 is 48910850631.

1360580198400 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 58 + 0 + 198 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 763083909 + ... + 763085691.

Almost surely, 2^{1360580198400} is an apocalyptic number.

1360580198400 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 1360580198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631236235936).

1360580198400 is an abundant number, since it is smaller than the sum of its proper divisors (3901892273472).

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

1360580198400 is an equidigital number, since it uses as much as digits as its factorization.

1360580198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1360580198400 in words is "one trillion, three hundred sixty billion, five hundred eighty million, one hundred ninety-eight thousand, four hundred".