10005154230400 has 192 divisors, whose sum is σ = 28249383888000. Its totient is φ = 3430011985920.

The previous prime is 10005154230377. The next prime is 10005154230443. The reversal of 10005154230400 is 403245150001.

It is a happy number.

It is a super-2 number, since 2×10005154230400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423773796 + ... + 423797404.

It is an arithmetic number, because the mean of its divisors is an integer number (147132207750).

Almost surely, 2^{10005154230400} is an apocalyptic number.

10005154230400 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 10005154230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14124691944000).

10005154230400 is an abundant number, since it is smaller than the sum of its proper divisors (18244229657600).

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

10005154230400 is a wasteful number, since it uses less digits than its factorization.

10005154230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42559 (or 42542 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 10005154230400 its reverse (403245150001), we get a palindrome (10408399380401).

The spelling of 10005154230400 in words is "ten trillion, five billion, one hundred fifty-four million, two hundred thirty thousand, four hundred".