10153335661240 has 128 divisors (see below), whose sum is σ = 23454958363200. Its totient is φ = 3954466897920.

The previous prime is 10153335661237. The next prime is 10153335661289. The reversal of 10153335661240 is 4216653335101.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10153335661193 and 10153335661202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167072460 + ... + 167133220.

Almost surely, 2^{10153335661240} is an apocalyptic number.

10153335661240 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 10153335661240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11727479181600).

10153335661240 is an abundant number, since it is smaller than the sum of its proper divisors (13301622701960).

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

10153335661240 is a wasteful number, since it uses less digits than its factorization.

10153335661240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61577 (or 61573 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

Adding to 10153335661240 its reverse (4216653335101), we get a palindrome (14369988996341).

The spelling of 10153335661240 in words is "ten trillion, one hundred fifty-three billion, three hundred thirty-five million, six hundred sixty-one thousand, two hundred forty".