950540953824 has 1152 divisors, whose sum is σ = 3609303183360. Its totient is φ = 243611504640.

The previous prime is 950540953787. The next prime is 950540953837. The reversal of 950540953824 is 428359045059.

950540953824 is a `hidden beast` number, since 9 + 5 + 0 + 540 + 95 + 3 + 8 + 2 + 4 = 666.

950540953824 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4262515377 + ... + 4262515599.

It is an arithmetic number, because the mean of its divisors is an integer number (3133075680).

Almost surely, 2^950540953824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 950540953824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804651591680).

950540953824 is an abundant number, since it is smaller than the sum of its proper divisors (2658762229536).

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

950540953824 is a wasteful number, since it uses less digits than its factorization.

950540953824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 950540953824 in words is "nine hundred fifty billion, five hundred forty million, nine hundred fifty-three thousand, eight hundred twenty-four".