1351001604960 has 960 divisors, whose sum is σ = 5743887811200. Its totient is φ = 292496375808.

The previous prime is 1351001604947. The next prime is 1351001604971. The reversal of 1351001604960 is 694061001531.

1351001604960 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 0 + 0 + 160 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 139431796 + ... + 139441484.

It is an arithmetic number, because the mean of its divisors is an integer number (5983216470).

Almost surely, 2^{1351001604960} is an apocalyptic number.

1351001604960 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 1351001604960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871943905600).

1351001604960 is an abundant number, since it is smaller than the sum of its proper divisors (4392886206240).

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

1351001604960 is a wasteful number, since it uses less digits than its factorization.

1351001604960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9805 (or 9788 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 1351001604960 in words is "one trillion, three hundred fifty-one billion, one million, six hundred four thousand, nine hundred sixty".