10127402426700 has 648 divisors, whose sum is σ = 35662690535472. Its totient is φ = 2389068380160.

The previous prime is 10127402426597. The next prime is 10127402426717. The reversal of 10127402426700 is 762420472101.

10127402426700 is a `hidden beast` number, since 1 + 0 + 127 + 40 + 2 + 426 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1073154382 + ... + 1073163818.

Almost surely, 2^{10127402426700} is an apocalyptic number.

10127402426700 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 10127402426700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17831345267736).

10127402426700 is an abundant number, since it is smaller than the sum of its proper divisors (25535288108772).

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

10127402426700 is a wasteful number, since it uses less digits than its factorization.

10127402426700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9611 (or 9564 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 10127402426700 its reverse (762420472101), we get a palindrome (10889822898801).

The spelling of 10127402426700 in words is "ten trillion, one hundred twenty-seven billion, four hundred two million, four hundred twenty-six thousand, seven hundred".