126757962240 has 1280 divisors, whose sum is σ = 541693329408. Its totient is φ = 24527241216.

The previous prime is 126757962239. The next prime is 126757962299. The reversal of 126757962240 is 42269757621.

126757962240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 127 ways as a sum of consecutive naturals, for example, 558405007 + ... + 558405233.

Almost surely, 2^126757962240 is an apocalyptic number.

126757962240 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 126757962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270846664704).

126757962240 is an abundant number, since it is smaller than the sum of its proper divisors (414935367168).

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

126757962240 is a wasteful number, since it uses less digits than its factorization.

126757962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 126757962240 in words is "one hundred twenty-six billion, seven hundred fifty-seven million, nine hundred sixty-two thousand, two hundred forty".