19950077952 has 576 divisors, whose sum is σ = 70958160000. Its totient is φ = 5518098432.

The previous prime is 19950077941. The next prime is 19950077963. The reversal of 19950077952 is 25977005991.

19950077952 is a `hidden beast` number, since 19 + 9 + 500 + 7 + 79 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (19950077941) and next prime (19950077963).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×19950077952² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100251549 + ... + 100251747.

It is an arithmetic number, because the mean of its divisors is an integer number (123191250).

Almost surely, 2^19950077952 is an apocalyptic number.

19950077952 is a gapful number since it is divisible by the number (12) 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 19950077952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35479080000).

19950077952 is an abundant number, since it is smaller than the sum of its proper divisors (51008082048).

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

19950077952 is a wasteful number, since it uses less digits than its factorization.

19950077952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1786050, while the sum is 54.

The spelling of 19950077952 in words is "nineteen billion, nine hundred fifty million, seventy-seven thousand, nine hundred fifty-two".