10612369152 has 432 divisors, whose sum is σ = 39105480960. Its totient is φ = 2687385600.

The previous prime is 10612369133. The next prime is 10612369199. The reversal of 10612369152 is 25196321601.

10612369152 is a `hidden beast` number, since 1 + 0 + 612 + 36 + 9 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×10612369152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7272999 + ... + 7274457.

Almost surely, 2^10612369152 is an apocalyptic number.

10612369152 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 10612369152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19552740480).

10612369152 is an abundant number, since it is smaller than the sum of its proper divisors (28493111808).

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

10612369152 is a wasteful number, since it uses less digits than its factorization.

10612369152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10612369152 in words is "ten billion, six hundred twelve million, three hundred sixty-nine thousand, one hundred fifty-two".