1353920720670 has 384 divisors, whose sum is σ = 4338185140224. Its totient is φ = 286226721792.

The previous prime is 1353920720639. The next prime is 1353920720671. The reversal of 1353920720670 is 760270293531.

1353920720670 is a `hidden beast` number, since 1 + 3 + 539 + 20 + 7 + 20 + 6 + 70 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353920720671) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87381444 + ... + 87396936.

It is an arithmetic number, because the mean of its divisors is an integer number (11297357136).

Almost surely, 2^{1353920720670} is an apocalyptic number.

1353920720670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353920720670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169092570112).

1353920720670 is an abundant number, since it is smaller than the sum of its proper divisors (2984264419554).

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

1353920720670 is a wasteful number, since it uses less digits than its factorization.

1353920720670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15736 (or 15733 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 1353920720670 in words is "one trillion, three hundred fifty-three billion, nine hundred twenty million, seven hundred twenty thousand, six hundred seventy".