10155124522400 has 576 divisors, whose sum is σ = 29864813529600. Its totient is φ = 3322753843200.

The previous prime is 10155124522379. The next prime is 10155124522409. The reversal of 10155124522400 is 422542155101.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (10155124522409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1381833926 + ... + 1381841274.

It is an arithmetic number, because the mean of its divisors is an integer number (51848634600).

Almost surely, 2^{10155124522400} is an apocalyptic number.

10155124522400 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 10155124522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14932406764800).

10155124522400 is an abundant number, since it is smaller than the sum of its proper divisors (19709689007200).

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

10155124522400 is a wasteful number, since it uses less digits than its factorization.

10155124522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7697 (or 7684 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

Adding to 10155124522400 its reverse (422542155101), we get a palindrome (10577666677501).

The spelling of 10155124522400 in words is "ten trillion, one hundred fifty-five billion, one hundred twenty-four million, five hundred twenty-two thousand, four hundred".