1950625152000 has 3168 divisors, whose sum is σ = 9135286358016. Its totient is φ = 406093824000.

The previous prime is 1950625151987. The next prime is 1950625152019. The reversal of 1950625152000 is 2515260591.

1950625152000 is a `hidden beast` number, since 1 + 9 + 5 + 0 + 625 + 1 + 5 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 62923391985 + ... + 62923392015.

Almost surely, 2^{1950625152000} is an apocalyptic number.

1950625152000 is a gapful number since it is divisible by the number (10) 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 1950625152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567643179008).

1950625152000 is an abundant number, since it is smaller than the sum of its proper divisors (7184661206016).

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

1950625152000 is an equidigital number, since it uses as much as digits as its factorization.

1950625152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 1950625152000 in words is "one trillion, nine hundred fifty billion, six hundred twenty-five million, one hundred fifty-two thousand".