96906930120 has 1536 divisors, whose sum is σ = 453672576000. Its totient is φ = 17882726400.

The previous prime is 96906930083. The next prime is 96906930121. The reversal of 96906930120 is 2103960969.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (96906930121) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 344864380 + ... + 344864660.

It is an arithmetic number, because the mean of its divisors is an integer number (295359750).

Almost surely, 2^96906930120 is an apocalyptic number.

96906930120 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 96906930120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226836288000).

96906930120 is an abundant number, since it is smaller than the sum of its proper divisors (356765645880).

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

96906930120 is a wasteful number, since it uses less digits than its factorization.

96906930120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 96906930120 in words is "ninety-six billion, nine hundred six million, nine hundred thirty thousand, one hundred twenty".