33230627850420 has 6912 divisors, whose sum is σ = 163965634560000. Its totient is φ = 5576728227840.

The previous prime is 33230627850403. The next prime is 33230627850457. The reversal of 33230627850420 is 2405872603233.

33230627850420 is a `hidden beast` number, since 3 + 3 + 2 + 306 + 278 + 50 + 4 + 20 = 666.

It is a super-2 number, since 2×33230627850420² (a number of 28 digits) contains 22 as substring.

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 2303 ways as a sum of consecutive naturals, for example, 1145883718966 + ... + 1145883718994.

It is an arithmetic number, because the mean of its divisors is an integer number (23721880000).

Almost surely, 2^{33230627850420} is an apocalyptic number.

33230627850420 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 33230627850420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81982817280000).

33230627850420 is an abundant number, since it is smaller than the sum of its proper divisors (130735006709580).

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

33230627850420 is a wasteful number, since it uses less digits than its factorization.

33230627850420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 33230627850420 in words is "thirty-three trillion, two hundred thirty billion, six hundred twenty-seven million, eight hundred fifty thousand, four hundred twenty".