10027957481280 has 1792 divisors, whose sum is σ = 39958724044800. Its totient is φ = 2354388664320.

The previous prime is 10027957481239. The next prime is 10027957481281. The reversal of 10027957481280 is 8218475972001.

10027957481280 is a `hidden beast` number, since 1 + 0 + 0 + 279 + 57 + 48 + 1 + 280 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10027957481281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41609781960 + ... + 41609782200.

Almost surely, 2^{10027957481280} is an apocalyptic number.

10027957481280 is a gapful number since it is divisible by the number (10) 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 10027957481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19979362022400).

10027957481280 is an abundant number, since it is smaller than the sum of its proper divisors (29930766563520).

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

10027957481280 is a wasteful number, since it uses less digits than its factorization.

10027957481280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 10027957481280 in words is "ten trillion, twenty-seven billion, nine hundred fifty-seven million, four hundred eighty-one thousand, two hundred eighty".