10455402960 has 60 divisors (see below), whose sum is σ = 35112730692. Its totient is φ = 2788107264.

The previous prime is 10455402943. The next prime is 10455402977. The reversal of 10455402960 is 6920455401.

10455402960 is a `hidden beast` number, since 10 + 4 + 554 + 0 + 2 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10455402943) and next prime (10455402977).

It can be written as a sum of positive squares in 2 ways, for example, as 7479482256 + 2975920704 = 86484^2 + 54552^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7259977 + ... + 7261416.

Almost surely, 2^10455402960 is an apocalyptic number.

10455402960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10455402960 is an abundant number, since it is smaller than the sum of its proper divisors (24657327732).

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

10455402960 is a wasteful number, since it uses less digits than its factorization.

10455402960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14521412 (or 14521403 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10455402960 in words is "ten billion, four hundred fifty-five million, four hundred two thousand, nine hundred sixty".