27883086653952 has 480 divisors, whose sum is σ = 86004705346560. Its totient is φ = 8677122048000.

The previous prime is 27883086653951. The next prime is 27883086653953. The reversal of 27883086653952 is 25935668038872.

27883086653952 is a `hidden beast` number, since 2 + 7 + 8 + 8 + 3 + 0 + 86 + 6 + 539 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (27883086653951) and next prime (27883086653953).

It is a super-2 number, since 2×27883086653952² (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 not an unprimeable number, because it can be changed into a prime (27883086653951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7129398877 + ... + 7129402787.

It is an arithmetic number, because the mean of its divisors is an integer number (179176469472).

Almost surely, 2^{27883086653952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27883086653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43002352673280).

27883086653952 is an abundant number, since it is smaller than the sum of its proper divisors (58121618692608).

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

27883086653952 is a wasteful number, since it uses less digits than its factorization.

27883086653952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5716 (or 5697 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 27883086653952 in words is "twenty-seven trillion, eight hundred eighty-three billion, eighty-six million, six hundred fifty-three thousand, nine hundred fifty-two".