27952140240 has 120 divisors (see below), whose sum is σ = 95061058560. Its totient is φ = 7359535872.

The previous prime is 27952140193. The next prime is 27952140257. The reversal of 27952140240 is 4204125972.

27952140240 is a `hidden beast` number, since 2 + 79 + 521 + 40 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27952140195 and 27952140204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188832 + ... + 302591.

It is an arithmetic number, because the mean of its divisors is an integer number (792175488).

Almost surely, 2^27952140240 is an apocalyptic number.

27952140240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27952140240 is an abundant number, since it is smaller than the sum of its proper divisors (67108918320).

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

27952140240 is a wasteful number, since it uses less digits than its factorization.

27952140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491521 (or 491512 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 27952140240 in words is "twenty-seven billion, nine hundred fifty-two million, one hundred forty thousand, two hundred forty".