10151982720 has 640 divisors, whose sum is σ = 41676465600. Its totient is φ = 2329067520.

The previous prime is 10151982697. The next prime is 10151982749. The reversal of 10151982720 is 2728915101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10834092 + ... + 10835028.

Almost surely, 2^10151982720 is an apocalyptic number.

10151982720 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 10151982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20838232800).

10151982720 is an abundant number, since it is smaller than the sum of its proper divisors (31524482880).

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

10151982720 is a wasteful number, since it uses less digits than its factorization.

10151982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 10151982720 in words is "ten billion, one hundred fifty-one million, nine hundred eighty-two thousand, seven hundred twenty".