10053147405600 has 576 divisors, whose sum is σ = 40418843028480. Its totient is φ = 2394792345600.

The previous prime is 10053147405577. The next prime is 10053147405641. The reversal of 10053147405600 is 650474135001.

10053147405600 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 1 + 4 + 7 + 40 + 5 + 600 = 666.

It is a super-3 number, since 3×10053147405600³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8127352 + ... + 9282248.

It is an arithmetic number, because the mean of its divisors is an integer number (70171602480).

Almost surely, 2^{10053147405600} is an apocalyptic number.

10053147405600 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 10053147405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20209421514240).

10053147405600 is an abundant number, since it is smaller than the sum of its proper divisors (30365695622880).

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

10053147405600 is a wasteful number, since it uses less digits than its factorization.

10053147405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154970 (or 1154951 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10053147405600 in words is "ten trillion, fifty-three billion, one hundred forty-seven million, four hundred five thousand, six hundred".