920895909030 has 512 divisors, whose sum is σ = 2738983403520. Its totient is φ = 219191132160.

The previous prime is 920895909019. The next prime is 920895909097. The reversal of 920895909030 is 30909598029.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1266706527 + ... + 1266707253.

It is an arithmetic number, because the mean of its divisors is an integer number (5349576960).

Almost surely, 2^920895909030 is an apocalyptic number.

920895909030 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 920895909030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369491701760).

920895909030 is an abundant number, since it is smaller than the sum of its proper divisors (1818087494490).

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

920895909030 is a wasteful number, since it uses less digits than its factorization.

920895909030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 920895909030 in words is "nine hundred twenty billion, eight hundred ninety-five million, nine hundred nine thousand, thirty".