10234574978000 has 80 divisors (see below), whose sum is σ = 25060458408960. Its totient is φ = 4042009296000.

The previous prime is 10234574977999. The next prime is 10234574978003. The reversal of 10234574978000 is 87947543201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 10234574978000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234574978003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32229896 + ... + 32545895.

It is an arithmetic number, because the mean of its divisors is an integer number (313255730112).

Almost surely, 2^{10234574978000} is an apocalyptic number.

10234574978000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10234574978000 is an abundant number, since it is smaller than the sum of its proper divisors (14825883430960).

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

10234574978000 is an equidigital number, since it uses as much as digits as its factorization.

10234574978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64775893 (or 64775877 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 10234574978000 in words is "ten trillion, two hundred thirty-four billion, five hundred seventy-four million, nine hundred seventy-eight thousand".