27948555436032 has 2160 divisors, whose sum is σ = 109953985541400. Its totient is φ = 7063165992960.

The previous prime is 27948555436031. The next prime is 27948555436033. The reversal of 27948555436032 is 23063455584972.

27948555436032 is a `hidden beast` number, since 2 + 7 + 9 + 4 + 8 + 55 + 543 + 6 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (27948555436031) and next prime (27948555436033).

It is a super-2 number, since 2×27948555436032² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27948555436031) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 755366363118 + ... + 755366363154.

Almost surely, 2^{27948555436032} is an apocalyptic number.

27948555436032 is a gapful number since it is divisible by the number (22) 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 27948555436032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54976992770700).

27948555436032 is an abundant number, since it is smaller than the sum of its proper divisors (82005430105368).

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

27948555436032 is an frugal number, since it uses more digits than its factorization.

27948555436032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 27948555436032 in words is "twenty-seven trillion, nine hundred forty-eight billion, five hundred fifty-five million, four hundred thirty-six thousand, thirty-two".