10899078003072 has 1152 divisors, whose sum is σ = 39212909049600. Its totient is φ = 2891636858880.

The previous prime is 10899078003013. The next prime is 10899078003103. The reversal of 10899078003072 is 27030087099801.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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, 4716172797 + ... + 4716175107.

It is an arithmetic number, because the mean of its divisors is an integer number (34038983550).

Almost surely, 2^{10899078003072} is an apocalyptic number.

10899078003072 is a gapful number since it is divisible by the number (12) 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 10899078003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606454524800).

10899078003072 is an abundant number, since it is smaller than the sum of its proper divisors (28313831046528).

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

10899078003072 is a wasteful number, since it uses less digits than its factorization.

10899078003072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 10899078003072 in words is "ten trillion, eight hundred ninety-nine billion, seventy-eight million, three thousand, seventy-two".