150435253773630 has 1152 divisors, whose sum is σ = 498537368469504. Its totient is φ = 32495250816000.

The previous prime is 150435253773619. The next prime is 150435253773631. The reversal of 150435253773630 is 36377352534051.

150435253773630 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 3 + 5 + 2 + 537 + 73 + 6 + 30 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150435253773631) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 121612977372 + ... + 121612978608.

It is an arithmetic number, because the mean of its divisors is an integer number (432758132352).

Almost surely, 2^{150435253773630} is an apocalyptic number.

150435253773630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150435253773630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249268684234752).

150435253773630 is an abundant number, since it is smaller than the sum of its proper divisors (348102114695874).

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

150435253773630 is a wasteful number, since it uses less digits than its factorization.

150435253773630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 23814000, while the sum is 54.

The spelling of 150435253773630 in words is "one hundred fifty trillion, four hundred thirty-five billion, two hundred fifty-three million, seven hundred seventy-three thousand, six hundred thirty".