10151685720 has 512 divisors, whose sum is σ = 39303014400. Its totient is φ = 2306304000.

The previous prime is 10151685701. The next prime is 10151685727. The reversal of 10151685720 is 2758615101.

10151685720 is a `hidden beast` number, since 10 + 15 + 1 + 68 + 572 + 0 = 666.

10151685720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10151685727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14481370 + ... + 14482070.

It is an arithmetic number, because the mean of its divisors is an integer number (76763700).

Almost surely, 2^10151685720 is an apocalyptic number.

10151685720 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 10151685720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19651507200).

10151685720 is an abundant number, since it is smaller than the sum of its proper divisors (29151328680).

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

10151685720 is a wasteful number, since it uses less digits than its factorization.

10151685720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 10151685720 in words is "ten billion, one hundred fifty-one million, six hundred eighty-five thousand, seven hundred twenty".