27090254292948 has 288 divisors, whose sum is σ = 86560319419392. Its totient is φ = 6938801625600.

The previous prime is 27090254292947. The next prime is 27090254292961. The reversal of 27090254292948 is 84929245209072.

27090254292948 is a `hidden beast` number, since 2 + 7 + 0 + 9 + 0 + 254 + 292 + 94 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27090254292947) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1815328215 + ... + 1815343137.

Almost surely, 2^{27090254292948} is an apocalyptic number.

27090254292948 is a gapful number since it is divisible by the number (28) 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 27090254292948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43280159709696).

27090254292948 is an abundant number, since it is smaller than the sum of its proper divisors (59470065126444).

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

27090254292948 is a wasteful number, since it uses less digits than its factorization.

27090254292948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23995 (or 23990 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 27090254292948 in words is "twenty-seven trillion, ninety billion, two hundred fifty-four million, two hundred ninety-two thousand, nine hundred forty-eight".