22771011676140 has 972 divisors, whose sum is σ = 88994373524784. Its totient is φ = 4791889020672.

The previous prime is 22771011676103. The next prime is 22771011676169. The reversal of 22771011676140 is 4167611017722.

22771011676140 is a `hidden beast` number, since 2 + 2 + 7 + 7 + 10 + 1 + 16 + 7 + 614 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 59454338389 + ... + 59454338771.

Almost surely, 2^{22771011676140} is an apocalyptic number.

22771011676140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22771011676140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44497186762392).

22771011676140 is an abundant number, since it is smaller than the sum of its proper divisors (66223361848644).

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

22771011676140 is an frugal number, since it uses more digits than its factorization.

22771011676140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 22771011676140 in words is "twenty-two trillion, seven hundred seventy-one billion, eleven million, six hundred seventy-six thousand, one hundred forty".