10027098278400 has 1920 divisors, whose sum is σ = 40278047040000. Its totient is φ = 2150922977280.

The previous prime is 10027098278383. The next prime is 10027098278423. The reversal of 10027098278400 is 487289072001.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10027098278400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67295961526 + ... + 67295961674.

It is an arithmetic number, because the mean of its divisors is an integer number (20978149500).

Almost surely, 2^{10027098278400} is an apocalyptic number.

10027098278400 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 10027098278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139023520000).

10027098278400 is an abundant number, since it is smaller than the sum of its proper divisors (30250948761600).

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

10027098278400 is a wasteful number, since it uses less digits than its factorization.

10027098278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 10027098278400 in words is "ten trillion, twenty-seven billion, ninety-eight million, two hundred seventy-eight thousand, four hundred".