10055151072000 has 864 divisors, whose sum is σ = 37544659536384. Its totient is φ = 2581254144000.

The previous prime is 10055151071981. The next prime is 10055151072007. The reversal of 10055151072000 is 27015155001.

10055151072000 is a `hidden beast` number, since 1 + 0 + 0 + 551 + 5 + 107 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10055151072000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10055151072007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1758813142 + ... + 1758818858.

It is an arithmetic number, because the mean of its divisors is an integer number (43454467056).

Almost surely, 2^{10055151072000} is an apocalyptic number.

10055151072000 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 10055151072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18772329768192).

10055151072000 is an abundant number, since it is smaller than the sum of its proper divisors (27489508464384).

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

10055151072000 is a wasteful number, since it uses less digits than its factorization.

10055151072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982 (or 5955 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The spelling of 10055151072000 in words is "ten trillion, fifty-five billion, one hundred fifty-one million, seventy-two thousand".