10152051840 has 512 divisors, whose sum is σ = 43517606400. Its totient is φ = 2183528448.

The previous prime is 10152051827. The next prime is 10152051869. The reversal of 10152051840 is 4815025101.

10152051840 is a `hidden beast` number, since 10 + 1 + 520 + 51 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2053852 + ... + 2058788.

It is an arithmetic number, because the mean of its divisors is an integer number (84995325).

Almost surely, 2^10152051840 is an apocalyptic number.

10152051840 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 10152051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21758803200).

10152051840 is an abundant number, since it is smaller than the sum of its proper divisors (33365554560).

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

10152051840 is a wasteful number, since it uses less digits than its factorization.

10152051840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 10152051840 its reverse (4815025101), we get a palindrome (14967076941).

The spelling of 10152051840 in words is "ten billion, one hundred fifty-two million, fifty-one thousand, eight hundred forty".