27998655051744 has 576 divisors, whose sum is σ = 93743198115840. Its totient is φ = 7849718968320.

The previous prime is 27998655051743. The next prime is 27998655051749. The reversal of 27998655051744 is 44715055689972.

27998655051744 is a `hidden beast` number, since 2 + 7 + 9 + 9 + 8 + 65 + 5 + 0 + 517 + 44 = 666.

It is a super-2 number, since 2×27998655051744² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27998655051743) 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, 359411262 + ... + 359489154.

It is an arithmetic number, because the mean of its divisors is an integer number (162748607840).

Almost surely, 2^{27998655051744} is an apocalyptic number.

27998655051744 is a gapful number since it is divisible by the number (24) 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 27998655051744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46871599057920).

27998655051744 is an abundant number, since it is smaller than the sum of its proper divisors (65744543064096).

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

27998655051744 is a wasteful number, since it uses less digits than its factorization.

27998655051744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78135 (or 78124 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 72.

The spelling of 27998655051744 in words is "twenty-seven trillion, nine hundred ninety-eight billion, six hundred fifty-five million, fifty-one thousand, seven hundred forty-four".