10279152000 has 1152 divisors, whose sum is σ = 44453354400. Its totient is φ = 2256076800.

The previous prime is 10279151963. The next prime is 10279152001. The reversal of 10279152000 is 25197201.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10279152001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 541007991 + ... + 541008009.

Almost surely, 2^10279152000 is an apocalyptic number.

10279152000 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 10279152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22226677200).

10279152000 is an abundant number, since it is smaller than the sum of its proper divisors (34174202400).

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

10279152000 is a wasteful number, since it uses less digits than its factorization.

10279152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 10279152000 in words is "ten billion, two hundred seventy-nine million, one hundred fifty-two thousand".