10151965824 has 576 divisors, whose sum is σ = 37240297920. Its totient is φ = 2434037760.

The previous prime is 10151965783. The next prime is 10151965841. The reversal of 10151965824 is 42856915101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 780920442 + ... + 780920454.

It is an arithmetic number, because the mean of its divisors is an integer number (64653295).

Almost surely, 2^10151965824 is an apocalyptic number.

10151965824 is a gapful number since it is divisible by the number (14) 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 10151965824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18620148960).

10151965824 is an abundant number, since it is smaller than the sum of its proper divisors (27088332096).

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

10151965824 is an frugal number, since it uses more digits than its factorization.

10151965824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 10151965824 in words is "ten billion, one hundred fifty-one million, nine hundred sixty-five thousand, eight hundred twenty-four".