10155895404480 has 1344 divisors, whose sum is σ = 43981615872000. Its totient is φ = 2195283492864.

The previous prime is 10155895404469. The next prime is 10155895404511. The reversal of 10155895404480 is 8440459855101.

10155895404480 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 58 + 9 + 540 + 4 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×10155895404480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 866612061 + ... + 866623779.

Almost surely, 2^{10155895404480} is an apocalyptic number.

10155895404480 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 10155895404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21990807936000).

10155895404480 is an abundant number, since it is smaller than the sum of its proper divisors (33825720467520).

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

10155895404480 is a wasteful number, since it uses less digits than its factorization.

10155895404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11871 (or 11848 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 10155895404480 in words is "ten trillion, one hundred fifty-five billion, eight hundred ninety-five million, four hundred four thousand, four hundred eighty".