10300850307072 has 1152 divisors, whose sum is σ = 34724678123520. Its totient is φ = 2996494663680.

The previous prime is 10300850307071. The next prime is 10300850307107. The reversal of 10300850307072 is 27070305800301.

10300850307072 is a `hidden beast` number, since 10 + 3 + 0 + 0 + 8 + 503 + 0 + 70 + 72 = 666.

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

It is a super-2 number, since 2×10300850307072² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300850307071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81109057473 + ... + 81109057599.

It is an arithmetic number, because the mean of its divisors is an integer number (30142949760).

Almost surely, 2^{10300850307072} is an apocalyptic number.

10300850307072 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 10300850307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17362339061760).

10300850307072 is an abundant number, since it is smaller than the sum of its proper divisors (24423827816448).

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

10300850307072 is an equidigital number, since it uses as much as digits as its factorization.

10300850307072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10300850307072 in words is "ten trillion, three hundred billion, eight hundred fifty million, three hundred seven thousand, seventy-two".