10070372023200 has 288 divisors, whose sum is σ = 36431972579520. Its totient is φ = 2684636697600.

The previous prime is 10070372023189. The next prime is 10070372023207. The reversal of 10070372023200 is 232027307001.

It is a happy number.

10070372023200 is a `hidden beast` number, since 1 + 0 + 0 + 70 + 372 + 0 + 23 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10070372023200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10070372023207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74690247 + ... + 74824953.

It is an arithmetic number, because the mean of its divisors is an integer number (126499904790).

Almost surely, 2^{10070372023200} is an apocalyptic number.

10070372023200 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 10070372023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18215986289760).

10070372023200 is an abundant number, since it is smaller than the sum of its proper divisors (26361600556320).

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

10070372023200 is a wasteful number, since it uses less digits than its factorization.

10070372023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138197 (or 138178 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 10070372023200 in words is "ten trillion, seventy billion, three hundred seventy-two million, twenty-three thousand, two hundred".