10257337480 has 64 divisors (see below), whose sum is σ = 24919695360. Its totient is φ = 3777362688.

The previous prime is 10257337477. The next prime is 10257337501. The reversal of 10257337480 is 8473375201.

It is a happy number.

It is a super-2 number, since 2×10257337480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173409 + ... + 224911.

It is an arithmetic number, because the mean of its divisors is an integer number (389370240).

Almost surely, 2^10257337480 is an apocalyptic number.

10257337480 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 10257337480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12459847680).

10257337480 is an abundant number, since it is smaller than the sum of its proper divisors (14662357880).

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

10257337480 is a wasteful number, since it uses less digits than its factorization.

10257337480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51910 (or 51906 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 10257337480 in words is "ten billion, two hundred fifty-seven million, three hundred thirty-seven thousand, four hundred eighty".