10219372452000 has 960 divisors, whose sum is σ = 41805571167360. Its totient is φ = 2429844480000.

The previous prime is 10219372451941. The next prime is 10219372452007. The reversal of 10219372452000 is 25427391201.

10219372452000 is a `hidden beast` number, since 1 + 0 + 21 + 93 + 7 + 24 + 520 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10219372452007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 104603175 + ... + 104700825.

It is an arithmetic number, because the mean of its divisors is an integer number (43547469966).

Almost surely, 2^{10219372452000} is an apocalyptic number.

10219372452000 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 10219372452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20902785583680).

10219372452000 is an abundant number, since it is smaller than the sum of its proper divisors (31586198715360).

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

10219372452000 is a wasteful number, since it uses less digits than its factorization.

10219372452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97724 (or 97697 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10219372452000 in words is "ten trillion, two hundred nineteen billion, three hundred seventy-two million, four hundred fifty-two thousand".