10089948955024 has 45 divisors (see below), whose sum is σ = 19611038923203. Its totient is φ = 5029085784576.

The previous prime is 10089948955007. The next prime is 10089948955027. The reversal of 10089948955024 is 42055984998001.

The square root of 10089948955024 is 3176468.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 457814624400 + 9632134330624 = 676620^2 + 3103568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10089948955027) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4739289192 + ... + 4739291320.

Almost surely, 2^{10089948955024} is an apocalyptic number.

10089948955024 is the 3176468-th square number.

It is an amenable number.

10089948955024 is a deficient number, since it is larger than the sum of its proper divisors (9521089968179).

10089948955024 is an frugal number, since it uses more digits than its factorization.

10089948955024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 64.

Multiplying 10089948955024 by its sum of digits (64), we get a square (645756733121536 = 25411744²).

The spelling of 10089948955024 in words is "ten trillion, eighty-nine billion, nine hundred forty-eight million, nine hundred fifty-five thousand, twenty-four".