10162378506240 has 1008 divisors, whose sum is σ = 37133289950400. Its totient is φ = 2668307152896.

The previous prime is 10162378506233. The next prime is 10162378506257. The reversal of 10162378506240 is 4260587326101.

10162378506240 is a `hidden beast` number, since 1 + 0 + 16 + 2 + 3 + 7 + 8 + 5 + 0 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 42520412041 + ... + 42520412279.

It is an arithmetic number, because the mean of its divisors is an integer number (36838581300).

Almost surely, 2^{10162378506240} is an apocalyptic number.

10162378506240 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 10162378506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18566644975200).

10162378506240 is an abundant number, since it is smaller than the sum of its proper divisors (26970911444160).

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

10162378506240 is an frugal number, since it uses more digits than its factorization.

10162378506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10162378506240 in words is "ten trillion, one hundred sixty-two billion, three hundred seventy-eight million, five hundred six thousand, two hundred forty".