120027262168464 has 160 divisors (see below), whose sum is σ = 373621633351680. Its totient is φ = 32435925451776.

The previous prime is 120027262168427. The next prime is 120027262168531. The reversal of 120027262168464 is 464861262720021.

It is a super-4 number, since 4×120027262168464⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11297104 + ... + 19174959.

It is an arithmetic number, because the mean of its divisors is an integer number (2335135208448).

Almost surely, 2^{120027262168464} is an apocalyptic number.

120027262168464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120027262168464 is an abundant number, since it is smaller than the sum of its proper divisors (253594371183216).

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

120027262168464 is a wasteful number, since it uses less digits than its factorization.

120027262168464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30472717 (or 30472711 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 120027262168464 in words is "one hundred twenty trillion, twenty-seven billion, two hundred sixty-two million, one hundred sixty-eight thousand, four hundred sixty-four".