1010225389680 has 480 divisors, whose sum is σ = 3678829539840. Its totient is φ = 246964101120.

The previous prime is 1010225389643. The next prime is 1010225389687. The reversal of 1010225389680 is 869835220101.

1010225389680 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 22 + 538 + 96 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010225389687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1528328550 + ... + 1528329210.

It is an arithmetic number, because the mean of its divisors is an integer number (7664228208).

Almost surely, 2^{1010225389680} is an apocalyptic number.

1010225389680 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 1010225389680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839414769920).

1010225389680 is an abundant number, since it is smaller than the sum of its proper divisors (2668604150160).

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

1010225389680 is a wasteful number, since it uses less digits than its factorization.

1010225389680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1010225389680 in words is "one trillion, ten billion, two hundred twenty-five million, three hundred eighty-nine thousand, six hundred eighty".