1010980807200 has 1152 divisors, whose sum is σ = 4622119165440. Its totient is φ = 207525888000.

The previous prime is 1010980807189. The next prime is 1010980807201. The reversal of 1010980807200 is 27080890101.

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

It is not an unprimeable number, because it can be changed into a prime (1010980807201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72720250 + ... + 72734150.

It is an arithmetic number, because the mean of its divisors is an integer number (4012256220).

Almost surely, 2^{1010980807200} is an apocalyptic number.

1010980807200 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 1010980807200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311059582720).

1010980807200 is an abundant number, since it is smaller than the sum of its proper divisors (3611138358240).

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

1010980807200 is a wasteful number, since it uses less digits than its factorization.

1010980807200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13987 (or 13968 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 1010980807200 in words is "one trillion, ten billion, nine hundred eighty million, eight hundred seven thousand, two hundred".