27778490085024 has 384 divisors, whose sum is σ = 93283453992960. Its totient is φ = 7877880806400.

The previous prime is 27778490085011. The next prime is 27778490085041. The reversal of 27778490085024 is 42058009487772.

27778490085024 is a `hidden beast` number, since 2 + 7 + 7 + 78 + 490 + 0 + 8 + 50 + 24 = 666.

It is a super-2 number, since 2×27778490085024² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532506367 + ... + 532558529.

It is an arithmetic number, because the mean of its divisors is an integer number (242925661440).

Almost surely, 2^{27778490085024} is an apocalyptic number.

27778490085024 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 27778490085024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46641726996480).

27778490085024 is an abundant number, since it is smaller than the sum of its proper divisors (65504963907936).

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

27778490085024 is a wasteful number, since it uses less digits than its factorization.

27778490085024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52841 (or 52827 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 27778490085024 in words is "twenty-seven trillion, seven hundred seventy-eight billion, four hundred ninety million, eighty-five thousand, twenty-four".