126993527685504 has 512 divisors, whose sum is σ = 399654963187200. Its totient is φ = 39560970240000.

The previous prime is 126993527685491. The next prime is 126993527685529. The reversal of 126993527685504 is 405586725399621.

126993527685504 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 9 + 3 + 5 + 2 + 7 + 68 + 550 + 4 = 666.

It is a super-2 number, since 2×126993527685504² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4881161904 + ... + 4881187920.

It is an arithmetic number, because the mean of its divisors is an integer number (780576099975).

It is a 1-persistent number, because it is pandigital, but 2⋅126993527685504 = 253987055371008 is not.

Almost surely, 2^{126993527685504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126993527685504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199827481593600).

126993527685504 is an abundant number, since it is smaller than the sum of its proper divisors (272661435501696).

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

126993527685504 is a wasteful number, since it uses less digits than its factorization.

126993527685504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26639 (or 26621 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 126993527685504 in words is "one hundred twenty-six trillion, nine hundred ninety-three billion, five hundred twenty-seven million, six hundred eighty-five thousand, five hundred four".