10137668542980 has 48 divisors (see below), whose sum is σ = 30965969369664. Its totient is φ = 2457616616320.

The previous prime is 10137668542973. The next prime is 10137668542999. The reversal of 10137668542980 is 8924586673101.

It is a happy number.

It is a super-2 number, since 2×10137668542980² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7680051267 + ... + 7680052586.

It is an arithmetic number, because the mean of its divisors is an integer number (645124361868).

It is a 1-persistent number, because it is pandigital, but 2⋅10137668542980 = 20275337085960 is not.

Almost surely, 2^{10137668542980} is an apocalyptic number.

10137668542980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10137668542980 is an abundant number, since it is smaller than the sum of its proper divisors (20828300826684).

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

10137668542980 is a wasteful number, since it uses less digits than its factorization.

10137668542980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15360103876 (or 15360103874 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 10137668542980 in words is "ten trillion, one hundred thirty-seven billion, six hundred sixty-eight million, five hundred forty-two thousand, nine hundred eighty".