1363358670120 has 320 divisors, whose sum is σ = 4831762320000. Its totient is φ = 343843149312.

The previous prime is 1363358670103. The next prime is 1363358670143. The reversal of 1363358670120 is 210768533631.

1363358670120 is a `hidden beast` number, since 1 + 3 + 63 + 3 + 586 + 7 + 0 + 1 + 2 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 36855954 + ... + 36892926.

It is an arithmetic number, because the mean of its divisors is an integer number (15099257250).

Almost surely, 2^{1363358670120} is an apocalyptic number.

1363358670120 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 1363358670120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415881160000).

1363358670120 is an abundant number, since it is smaller than the sum of its proper divisors (3468403649880).

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

1363358670120 is a wasteful number, since it uses less digits than its factorization.

1363358670120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37614 (or 37601 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1363358670120 in words is "one trillion, three hundred sixty-three billion, three hundred fifty-eight million, six hundred seventy thousand, one hundred twenty".