10149936007680 has 1280 divisors, whose sum is σ = 42129299266560. Its totient is φ = 2268201222144.

The previous prime is 10149936007669. The next prime is 10149936007693. The reversal of 10149936007680 is 8670063994101.

10149936007680 is a `hidden beast` number, since 1 + 0 + 1 + 499 + 3 + 6 + 0 + 0 + 76 + 80 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10180476942 + ... + 10180477938.

It is an arithmetic number, because the mean of its divisors is an integer number (32913515052).

Almost surely, 2^{10149936007680} is an apocalyptic number.

10149936007680 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 10149936007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21064649633280).

10149936007680 is an abundant number, since it is smaller than the sum of its proper divisors (31979363258880).

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

10149936007680 is an equidigital number, since it uses as much as digits as its factorization.

10149936007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10149936007680 in words is "ten trillion, one hundred forty-nine billion, nine hundred thirty-six million, seven thousand, six hundred eighty".