10405848591600 has 480 divisors, whose sum is σ = 41598014889984. Its totient is φ = 2160199756800.

The previous prime is 10405848591581. The next prime is 10405848591617. The reversal of 10405848591600 is 619584850401.

It is a happy number.

It is a super-2 number, since 2×10405848591600² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 98168229 + ... + 98274171.

Almost surely, 2^{10405848591600} is an apocalyptic number.

10405848591600 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 10405848591600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20799007444992).

10405848591600 is an abundant number, since it is smaller than the sum of its proper divisors (31192166298384).

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

10405848591600 is a wasteful number, since it uses less digits than its factorization.

10405848591600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107045 (or 107034 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 10405848591600 in words is "ten trillion, four hundred five billion, eight hundred forty-eight million, five hundred ninety-one thousand, six hundred".