10151150024000 has 448 divisors, whose sum is σ = 27924573381120. Its totient is φ = 3637760000000.

The previous prime is 10151150023969. The next prime is 10151150024023. The reversal of 10151150024000 is 42005115101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280005875 + ... + 280042125.

Almost surely, 2^{10151150024000} is an apocalyptic number.

10151150024000 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 10151150024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13962286690560).

10151150024000 is an abundant number, since it is smaller than the sum of its proper divisors (17773423357120).

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

10151150024000 is a wasteful number, since it uses less digits than its factorization.

10151150024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36395 (or 36375 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 10151150024000 its reverse (42005115101), we get a palindrome (10193155139101).

The spelling of 10151150024000 in words is "ten trillion, one hundred fifty-one billion, one hundred fifty million, twenty-four thousand".