10642742631580 has 24 divisors (see below), whose sum is σ = 22352213499840. Its totient is φ = 4256629629120.

The previous prime is 10642742631571. The next prime is 10642742631581. The reversal of 10642742631580 is 8513624724601.

It is a super-2 number, since 2×10642742631580² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642742631581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29027236 + ... + 29391595.

It is an arithmetic number, because the mean of its divisors is an integer number (931342229160).

Almost surely, 2^{10642742631580} is an apocalyptic number.

10642742631580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10642742631580 is an abundant number, since it is smaller than the sum of its proper divisors (11709470868260).

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

10642742631580 is a wasteful number, since it uses less digits than its factorization.

10642742631580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58427949 (or 58427947 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

The spelling of 10642742631580 in words is "ten trillion, six hundred forty-two billion, seven hundred forty-two million, six hundred thirty-one thousand, five hundred eighty".