10023401634960 has 720 divisors, whose sum is σ = 38860604387136. Its totient is φ = 2130255396864.

The previous prime is 10023401634919. The next prime is 10023401634989. The reversal of 10023401634960 is 6943610432001.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 282069354 + ... + 282104886.

Almost surely, 2^{10023401634960} is an apocalyptic number.

10023401634960 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 10023401634960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19430302193568).

10023401634960 is an abundant number, since it is smaller than the sum of its proper divisors (28837202752176).

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

10023401634960 is a wasteful number, since it uses less digits than its factorization.

10023401634960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35680 (or 35650 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 10023401634960 in words is "ten trillion, twenty-three billion, four hundred one million, six hundred thirty-four thousand, nine hundred sixty".