10039222397952 has 1408 divisors, whose sum is σ = 35655137280000. Its totient is φ = 2756262297600.

The previous prime is 10039222397927. The next prime is 10039222397977. The reversal of 10039222397952 is 25979322293001.

10039222397952 is a `hidden beast` number, since 10 + 0 + 392 + 2 + 239 + 7 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10039222397927) and next prime (10039222397977).

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×10039222397952² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23292859177 + ... + 23292859607.

Almost surely, 2^{10039222397952} is an apocalyptic number.

10039222397952 is a gapful number since it is divisible by the number (12) 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 10039222397952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17827568640000).

10039222397952 is an abundant number, since it is smaller than the sum of its proper divisors (25615914882048).

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

10039222397952 is a wasteful number, since it uses less digits than its factorization.

10039222397952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 10039222397952 in words is "ten trillion, thirty-nine billion, two hundred twenty-two million, three hundred ninety-seven thousand, nine hundred fifty-two".