10362499872 has 96 divisors (see below), whose sum is σ = 28831868352. Its totient is φ = 3247570944.

The previous prime is 10362499817. The next prime is 10362499937. The reversal of 10362499872 is 27899426301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10362499872³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1878943 + ... + 1884449.

It is an arithmetic number, because the mean of its divisors is an integer number (300331962).

Almost surely, 2^10362499872 is an apocalyptic number.

10362499872 is a gapful number since it is divisible by the number (12) 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 10362499872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14415934176).

10362499872 is an abundant number, since it is smaller than the sum of its proper divisors (18469368480).

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

10362499872 is a wasteful number, since it uses less digits than its factorization.

10362499872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6690 (or 6682 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 10362499872 in words is "ten billion, three hundred sixty-two million, four hundred ninety-nine thousand, eight hundred seventy-two".