27375626040 has 256 divisors, whose sum is σ = 94798080000. Its totient is φ = 6195087360.

The previous prime is 27375626029. The next prime is 27375626123. The reversal of 27375626040 is 4062657372.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 27375625983 and 27375626001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65025030 + ... + 65025450.

It is an arithmetic number, because the mean of its divisors is an integer number (370305000).

Almost surely, 2^27375626040 is an apocalyptic number.

27375626040 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 27375626040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47399040000).

27375626040 is an abundant number, since it is smaller than the sum of its proper divisors (67422453960).

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

27375626040 is a wasteful number, since it uses less digits than its factorization.

27375626040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 27375626040 in words is "twenty-seven billion, three hundred seventy-five million, six hundred twenty-six thousand, forty".