1460915586960 has 80 divisors (see below), whose sum is σ = 4534821496896. Its totient is φ = 389062808064.

The previous prime is 1460915586943. The next prime is 1460915586997. The reversal of 1460915586960 is 696855190641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1460915586894 and 1460915586903.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3838894 + ... + 4202253.

Almost surely, 2^{1460915586960} is an apocalyptic number.

1460915586960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1460915586960 is an abundant number, since it is smaller than the sum of its proper divisors (3073905909936).

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

1460915586960 is a wasteful number, since it uses less digits than its factorization.

1460915586960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8041920 (or 8041914 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 60.

The spelling of 1460915586960 in words is "one trillion, four hundred sixty billion, nine hundred fifteen million, five hundred eighty-six thousand, nine hundred sixty".