10461216153510 has 160 divisors (see below), whose sum is σ = 28939975983072. Its totient is φ = 2710375810560.

The previous prime is 10461216153469. The next prime is 10461216153523. The reversal of 10461216153510 is 1535161216401.

10461216153510 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 1 + 2 + 1 + 615 + 35 + 1 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2641420 + ... + 5282000.

Almost surely, 2^{10461216153510} is an apocalyptic number.

10461216153510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10461216153510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14469987991536).

10461216153510 is an abundant number, since it is smaller than the sum of its proper divisors (18478759829562).

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

10461216153510 is a wasteful number, since it uses less digits than its factorization.

10461216153510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640740 (or 2640731 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 10461216153510 its reverse (1535161216401), we get a palindrome (11996377369911).

The spelling of 10461216153510 in words is "ten trillion, four hundred sixty-one billion, two hundred sixteen million, one hundred fifty-three thousand, five hundred ten".