126493657290000 has 14400 divisors, whose sum is σ = 729141791938560. Its totient is φ = 20692869120000.

The previous prime is 126493657289999. The next prime is 126493657290031. The reversal of 126493657290000 is 92756394621.

126493657290000 is a `hidden beast` number, since 1 + 2 + 6 + 493 + 65 + 7 + 2 + 90 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2879 ways as a sum of consecutive naturals, for example, 5499724229989 + ... + 5499724230011.

Almost surely, 2^{126493657290000} is an apocalyptic number.

126493657290000 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 126493657290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364570895969280).

126493657290000 is an abundant number, since it is smaller than the sum of its proper divisors (602648134648560).

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

126493657290000 is a wasteful number, since it uses less digits than its factorization.

126493657290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 126493657290000 in words is "one hundred twenty-six trillion, four hundred ninety-three billion, six hundred fifty-seven million, two hundred ninety thousand".