920896769520 has 1120 divisors, whose sum is σ = 4006772633472. Its totient is φ = 191556845568.

The previous prime is 920896769509. The next prime is 920896769567. The reversal of 920896769520 is 25967698029.

920896769520 is a `hidden beast` number, since 9 + 20 + 89 + 6 + 7 + 6 + 9 + 520 = 666.

It is a super-2 number, since 2×920896769520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 387418572 + ... + 387420948.

Almost surely, 2^920896769520 is an apocalyptic number.

920896769520 is a gapful number since it is divisible by the number (90) 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 920896769520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003386316736).

920896769520 is an abundant number, since it is smaller than the sum of its proper divisors (3085875863952).

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

920896769520 is a wasteful number, since it uses less digits than its factorization.

920896769520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 920896769520 in words is "nine hundred twenty billion, eight hundred ninety-six million, seven hundred sixty-nine thousand, five hundred twenty".