2157067767767 has 16 divisors (see below), whose sum is σ = 2355391688832. Its totient is φ = 1959115905120.

The previous prime is 2157067767749. The next prime is 2157067767791. The reversal of 2157067767767 is 7677677607512.

It is not a de Polignac number, because 2157067767767 - 2²⁴ = 2157050990551 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2157067767697 and 2157067767706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157067767707) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51998168 + ... + 52039634.

It is an arithmetic number, because the mean of its divisors is an integer number (147211980552).

Almost surely, 2^{2157067767767} is an apocalyptic number.

2157067767767 is a deficient number, since it is larger than the sum of its proper divisors (198323921065).

2157067767767 is a wasteful number, since it uses less digits than its factorization.

2157067767767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45838.

The product of its (nonzero) digits is 254121840, while the sum is 68.

The spelling of 2157067767767 in words is "two trillion, one hundred fifty-seven billion, sixty-seven million, seven hundred sixty-seven thousand, seven hundred sixty-seven".