27715903488000 has 4352 divisors, whose sum is σ = 135205881108480. Its totient is φ = 5503765708800.

The previous prime is 27715903487959. The next prime is 27715903488023. The reversal of 27715903488000 is 88430951772.

It is a happy number.

27715903488000 is a `hidden beast` number, since 2 + 7 + 7 + 1 + 590 + 3 + 48 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4352).

It is a super-2 number, since 2×27715903488000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1630347263992 + ... + 1630347264008.

Almost surely, 2^{27715903488000} is an apocalyptic number.

27715903488000 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 27715903488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67602940554240).

27715903488000 is an abundant number, since it is smaller than the sum of its proper divisors (107489977620480).

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

27715903488000 is an frugal number, since it uses more digits than its factorization.

27715903488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 27715903488000 in words is "twenty-seven trillion, seven hundred fifteen billion, nine hundred three million, four hundred eighty-eight thousand".