10257493031640 has 768 divisors, whose sum is σ = 35853537254400. Its totient is φ = 2639634117120.

The previous prime is 10257493031623. The next prime is 10257493031651. The reversal of 10257493031640 is 4613039475201.

10257493031640 is a `hidden beast` number, since 1 + 0 + 2 + 574 + 9 + 3 + 0 + 31 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65334350442 + ... + 65334350598.

It is an arithmetic number, because the mean of its divisors is an integer number (46684293300).

Almost surely, 2^{10257493031640} is an apocalyptic number.

10257493031640 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 10257493031640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926768627200).

10257493031640 is an abundant number, since it is smaller than the sum of its proper divisors (25596044222760).

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

10257493031640 is an frugal number, since it uses more digits than its factorization.

10257493031640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10257493031640 in words is "ten trillion, two hundred fifty-seven billion, four hundred ninety-three million, thirty-one thousand, six hundred forty".