126625457088 has 784 divisors, whose sum is σ = 439353472320. Its totient is φ = 35867639808.

The previous prime is 126625457027. The next prime is 126625457089. The reversal of 126625457088 is 880754526621.

126625457088 is a `hidden beast` number, since 1 + 2 + 6 + 62 + 5 + 4 + 570 + 8 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126625457089) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 404554020 + ... + 404554332.

Almost surely, 2^126625457088 is an apocalyptic number.

126625457088 is a gapful number since it is divisible by the number (18) 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 126625457088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219676736160).

126625457088 is an abundant number, since it is smaller than the sum of its proper divisors (312728015232).

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

126625457088 is a wasteful number, since it uses less digits than its factorization.

126625457088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 126625457088 in words is "one hundred twenty-six billion, six hundred twenty-five million, four hundred fifty-seven thousand, eighty-eight".