1031009601600 has 840 divisors, whose sum is σ = 4191309664608. Its totient is φ = 246492979200.

The previous prime is 1031009601451. The next prime is 1031009601701. The reversal of 1031009601600 is 61069001301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 104063847 + ... + 104073753.

Almost surely, 2^{1031009601600} is an apocalyptic number.

1031009601600 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 1031009601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095654832304).

1031009601600 is an abundant number, since it is smaller than the sum of its proper divisors (3160300063008).

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

1031009601600 is a wasteful number, since it uses less digits than its factorization.

1031009601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10025 (or 10001 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 1031009601600 in words is "one trillion, thirty-one billion, nine million, six hundred one thousand, six hundred".