1010685312000 has 2112 divisors, whose sum is σ = 4642034761728. Its totient is φ = 205701120000.

The previous prime is 1010685311963. The next prime is 1010685312037. The reversal of 1010685312000 is 2135860101.

1010685312000 is a `hidden beast` number, since 1 + 0 + 106 + 8 + 531 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1010685311963) and next prime (1010685312037).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3249791845 + ... + 3249792155.

Almost surely, 2^{1010685312000} is an apocalyptic number.

1010685312000 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 1010685312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321017380864).

1010685312000 is an abundant number, since it is smaller than the sum of its proper divisors (3631349449728).

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

1010685312000 is a wasteful number, since it uses less digits than its factorization.

1010685312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 1010685312000 in words is "one trillion, ten billion, six hundred eighty-five million, three hundred twelve thousand".