10438053050880 has 2400 divisors, whose sum is σ = 49007230550784. Its totient is φ = 2071938465792.

The previous prime is 10438053050879. The next prime is 10438053050903. The reversal of 10438053050880 is 8805035083401.

10438053050880 is a `hidden beast` number, since 1 + 0 + 4 + 38 + 0 + 5 + 30 + 508 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4170215709 + ... + 4170218211.

Almost surely, 2^{10438053050880} is an apocalyptic number.

10438053050880 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 10438053050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24503615275392).

10438053050880 is an abundant number, since it is smaller than the sum of its proper divisors (38569177499904).

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

10438053050880 is a wasteful number, since it uses less digits than its factorization.

10438053050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 10438053050880 in words is "ten trillion, four hundred thirty-eight billion, fifty-three million, fifty thousand, eight hundred eighty".