10516154880 has 320 divisors, whose sum is σ = 41916745728. Its totient is φ = 2185052160.

The previous prime is 10516154879. The next prime is 10516154881. The reversal of 10516154880 is 8845161501.

It is an interprime number because it is at equal distance from previous prime (10516154879) and next prime (10516154881).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×10516154880² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10516154881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582469 + ... + 600251.

Almost surely, 2^10516154880 is an apocalyptic number.

10516154880 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 10516154880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20958372864).

10516154880 is an abundant number, since it is smaller than the sum of its proper divisors (31400590848).

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

10516154880 is a wasteful number, since it uses less digits than its factorization.

10516154880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17827 (or 17811 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 39.

The spelling of 10516154880 in words is "ten billion, five hundred sixteen million, one hundred fifty-four thousand, eight hundred eighty".