10151700000 has 576 divisors, whose sum is σ = 38033815680. Its totient is φ = 2350080000.

The previous prime is 10151699993. The next prime is 10151700001. The reversal of 10151700000 is 715101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10151700001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74099932 + ... + 74100068.

It is an arithmetic number, because the mean of its divisors is an integer number (66030930).

Almost surely, 2^10151700000 is an apocalyptic number.

10151700000 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 10151700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19016907840).

10151700000 is an abundant number, since it is smaller than the sum of its proper divisors (27882115680).

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

10151700000 is a wasteful number, since it uses less digits than its factorization.

10151700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 15.

The spelling of 10151700000 in words is "ten billion, one hundred fifty-one million, seven hundred thousand".