10005037222400 has 240 divisors, whose sum is σ = 27048325189248. Its totient is φ = 3637309440000.

The previous prime is 10005037222393. The next prime is 10005037222421. The reversal of 10005037222400 is 422273050001.

It is a self number, because there is not a number n which added to its sum of digits gives 10005037222400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 943777100 + ... + 943787700.

Almost surely, 2^{10005037222400} is an apocalyptic number.

10005037222400 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 10005037222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13524162594624).

10005037222400 is an abundant number, since it is smaller than the sum of its proper divisors (17043287966848).

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

10005037222400 is a wasteful number, since it uses less digits than its factorization.

10005037222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17343 (or 17322 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The spelling of 10005037222400 in words is "ten trillion, five billion, thirty-seven million, two hundred twenty-two thousand, four hundred".