10277113074144 has 96 divisors (see below), whose sum is σ = 30890517509376. Its totient is φ = 2930681994240.

The previous prime is 10277113074139. The next prime is 10277113074161. The reversal of 10277113074144 is 44147031177201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10277113074096 and 10277113074105.

It is a congruent number.

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, 14326782 + ... + 15027005.

It is an arithmetic number, because the mean of its divisors is an integer number (321776224056).

Almost surely, 2^{10277113074144} is an apocalyptic number.

10277113074144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10277113074144 is an abundant number, since it is smaller than the sum of its proper divisors (20613404435232).

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

10277113074144 is a wasteful number, since it uses less digits than its factorization.

10277113074144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29354328 (or 29354320 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The spelling of 10277113074144 in words is "ten trillion, two hundred seventy-seven billion, one hundred thirteen million, seventy-four thousand, one hundred forty-four".