27922085100 has 1152 divisors, whose sum is σ = 118619074560. Its totient is φ = 5542732800.

The previous prime is 27922085089. The next prime is 27922085111. The reversal of 27922085100 is 158022972.

It is an interprime number because it is at equal distance from previous prime (27922085089) and next prime (27922085111).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 457739070 + ... + 457739130.

Almost surely, 2^27922085100 is an apocalyptic number.

27922085100 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 27922085100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59309537280).

27922085100 is an abundant number, since it is smaller than the sum of its proper divisors (90696989460).

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

27922085100 is a wasteful number, since it uses less digits than its factorization.

27922085100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 27922085100 in words is "twenty-seven billion, nine hundred twenty-two million, eighty-five thousand, one hundred".