27951532815948 has 384 divisors, whose sum is σ = 80895991873536. Its totient is φ = 7338682982400.

The previous prime is 27951532815929. The next prime is 27951532815961. The reversal of 27951532815948 is 84951823515972.

It is a super-2 number, since 2×27951532815948² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5494696261 + ... + 5494701347.

It is an arithmetic number, because the mean of its divisors is an integer number (210666645504).

Almost surely, 2^{27951532815948} is an apocalyptic number.

27951532815948 is a gapful number since it is divisible by the number (28) 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 27951532815948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40447995936768).

27951532815948 is an abundant number, since it is smaller than the sum of its proper divisors (52944459057588).

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

27951532815948 is a wasteful number, since it uses less digits than its factorization.

27951532815948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6213 (or 6211 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 69.

The spelling of 27951532815948 in words is "twenty-seven trillion, nine hundred fifty-one billion, five hundred thirty-two million, eight hundred fifteen thousand, nine hundred forty-eight".