30951728640000 has 4160 divisors, whose sum is σ = 143263876884480. Its totient is φ = 6440878080000.

The previous prime is 30951728639989. The next prime is 30951728640011. The reversal of 30951728640000 is 4682715903.

It is an interprime number because it is at equal distance from previous prime (30951728639989) and next prime (30951728640011).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 435939839965 + ... + 435939840035.

It is a 2-persistent number, because it is pandigital, and so is 2⋅30951728640000 = 61903457280000, but 3⋅30951728640000 = 92855185920000 is not.

Almost surely, 2^{30951728640000} is an apocalyptic number.

30951728640000 is a gapful number since it is divisible by the number (30) 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 30951728640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71631938442240).

30951728640000 is an abundant number, since it is smaller than the sum of its proper divisors (112312148244480).

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

30951728640000 is an equidigital number, since it uses as much as digits as its factorization.

30951728640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 30951728640000 in words is "thirty trillion, nine hundred fifty-one billion, seven hundred twenty-eight million, six hundred forty thousand".