126460253010 has 576 divisors, whose sum is σ = 419251375872. Its totient is φ = 24148067328.

The previous prime is 126460252939. The next prime is 126460253039. The reversal of 126460253010 is 10352064621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 158669932 + ... + 158670728.

It is an arithmetic number, because the mean of its divisors is an integer number (727866972).

Almost surely, 2^126460253010 is an apocalyptic number.

126460253010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126460253010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209625687936).

126460253010 is an abundant number, since it is smaller than the sum of its proper divisors (292791122862).

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

126460253010 is a wasteful number, since it uses less digits than its factorization.

126460253010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 126460253010 in words is "one hundred twenty-six billion, four hundred sixty million, two hundred fifty-three thousand, ten".