10155642400530 has 288 divisors, whose sum is σ = 29197583578800. Its totient is φ = 2447232860160.

The previous prime is 10155642400517. The next prime is 10155642400537. The reversal of 10155642400530 is 3500424655101.

10155642400530 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 5 + 642 + 4 + 0 + 0 + 5 + 3 + 0 = 666.

10155642400530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9327227510601 + 828414889929 = 3054051^2 + 910173^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10155642400537) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1424550006 + ... + 1424557134.

Almost surely, 2^{10155642400530} is an apocalyptic number.

10155642400530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10155642400530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14598791789400).

10155642400530 is an abundant number, since it is smaller than the sum of its proper divisors (19041941178270).

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

10155642400530 is a wasteful number, since it uses less digits than its factorization.

10155642400530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7930 (or 7916 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 10155642400530 in words is "ten trillion, one hundred fifty-five billion, six hundred forty-two million, four hundred thousand, five hundred thirty".