18191877906870 has 896 divisors, whose sum is σ = 54296764784640. Its totient is φ = 4368748400640.

The previous prime is 18191877906823. The next prime is 18191877906877. The reversal of 18191877906870 is 7860977819181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18191877906877) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 49569149427 + ... + 49569149793.

It is an arithmetic number, because the mean of its divisors is an integer number (60599067840).

Almost surely, 2^{18191877906870} is an apocalyptic number.

18191877906870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18191877906870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27148382392320).

18191877906870 is an abundant number, since it is smaller than the sum of its proper divisors (36104886877770).

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

18191877906870 is a wasteful number, since it uses less digits than its factorization.

18191877906870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 72.

The spelling of 18191877906870 in words is "eighteen trillion, one hundred ninety-one billion, eight hundred seventy-seven million, nine hundred six thousand, eight hundred seventy".