10315938193920 has 640 divisors, whose sum is σ = 39183141761280. Its totient is φ = 2563434086400.

The previous prime is 10315938193877. The next prime is 10315938193921. The reversal of 10315938193920 is 2939183951301.

10315938193920 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 593 + 8 + 19 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10315938193921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118635579 + ... + 118722501.

It is an arithmetic number, because the mean of its divisors is an integer number (61223659002).

Almost surely, 2^{10315938193920} is an apocalyptic number.

10315938193920 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 10315938193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19591570880640).

10315938193920 is an abundant number, since it is smaller than the sum of its proper divisors (28867203567360).

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

10315938193920 is a wasteful number, since it uses less digits than its factorization.

10315938193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87073 (or 87051 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 10315938193920 in words is "ten trillion, three hundred fifteen billion, nine hundred thirty-eight million, one hundred ninety-three thousand, nine hundred twenty".