1353874866960 has 640 divisors, whose sum is σ = 5421098741760. Its totient is φ = 271221350400.

The previous prime is 1353874866859. The next prime is 1353874866961. The reversal of 1353874866960 is 696684783531.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1353874866891 and 1353874866900.

It is not an unprimeable number, because it can be changed into a prime (1353874866961) 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, 473215930 + ... + 473218790.

It is an arithmetic number, because the mean of its divisors is an integer number (8470466784).

Almost surely, 2^{1353874866960} is an apocalyptic number.

1353874866960 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 1353874866960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710549370880).

1353874866960 is an abundant number, since it is smaller than the sum of its proper divisors (4067223874800).

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

1353874866960 is a wasteful number, since it uses less digits than its factorization.

1353874866960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 1353874866960 in words is "one trillion, three hundred fifty-three billion, eight hundred seventy-four million, eight hundred sixty-six thousand, nine hundred sixty".