10079965022400 has 1008 divisors, whose sum is σ = 46011525740544. Its totient is φ = 2034287861760.

The previous prime is 10079965022399. The next prime is 10079965022419. The reversal of 10079965022400 is 422056997001.

10079965022400 is a `hidden beast` number, since 10 + 0 + 7 + 9 + 96 + 502 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29971977 + ... + 30306423.

Almost surely, 2^{10079965022400} is an apocalyptic number.

10079965022400 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 10079965022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23005762870272).

10079965022400 is an abundant number, since it is smaller than the sum of its proper divisors (35931560718144).

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

10079965022400 is a wasteful number, since it uses less digits than its factorization.

10079965022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334518 (or 334500 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10079965022400 in words is "ten trillion, seventy-nine billion, nine hundred sixty-five million, twenty-two thousand, four hundred".