10358527872 has 192 divisors, whose sum is σ = 34917488640. Its totient is φ = 2690472960.

The previous prime is 10358527853. The next prime is 10358527931. The reversal of 10358527872 is 27872585301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×10358527872³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181953 + ... + 231999.

It is an arithmetic number, because the mean of its divisors is an integer number (181861920).

Almost surely, 2^10358527872 is an apocalyptic number.

10358527872 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 10358527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17458744320).

10358527872 is an abundant number, since it is smaller than the sum of its proper divisors (24558960768).

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

10358527872 is a wasteful number, since it uses less digits than its factorization.

10358527872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50089 (or 50070 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 10358527872 in words is "ten billion, three hundred fifty-eight million, five hundred twenty-seven thousand, eight hundred seventy-two".