10151661569280 has 1440 divisors, whose sum is σ = 41551530854400. Its totient is φ = 2094663352320.

The previous prime is 10151661569183. The next prime is 10151661569281. The reversal of 10151661569280 is 8296516615101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10151661569281) 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 159 ways as a sum of consecutive naturals, for example, 20182229509 + ... + 20182230011.

It is an arithmetic number, because the mean of its divisors is an integer number (28855229760).

Almost surely, 2^{10151661569280} is an apocalyptic number.

10151661569280 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 10151661569280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20775765427200).

10151661569280 is an abundant number, since it is smaller than the sum of its proper divisors (31399869285120).

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

10151661569280 is an equidigital number, since it uses as much as digits as its factorization.

10151661569280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The spelling of 10151661569280 in words is "ten trillion, one hundred fifty-one billion, six hundred sixty-one million, five hundred sixty-nine thousand, two hundred eighty".