10219140407553 has 128 divisors (see below), whose sum is σ = 17314977705984. Its totient is φ = 5207224320000.

The previous prime is 10219140407461. The next prime is 10219140407561. The reversal of 10219140407553 is 35570404191201.

It is not a de Polignac number, because 10219140407553 - 2¹³ = 10219140399361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10219140487553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3712000225 + ... + 3712002977.

It is an arithmetic number, because the mean of its divisors is an integer number (135273263328).

Almost surely, 2^{10219140407553} is an apocalyptic number.

It is an amenable number.

10219140407553 is a deficient number, since it is larger than the sum of its proper divisors (7095837298431).

10219140407553 is a wasteful number, since it uses less digits than its factorization.

10219140407553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975.

The product of its (nonzero) digits is 151200, while the sum is 42.

Adding to 10219140407553 its reverse (35570404191201), we get a palindrome (45789544598754).

The spelling of 10219140407553 in words is "ten trillion, two hundred nineteen billion, one hundred forty million, four hundred seven thousand, five hundred fifty-three".