20152948510368 has 768 divisors, whose sum is σ = 62539247232000. Its totient is φ = 6306398208000.

The previous prime is 20152948510337. The next prime is 20152948510399. The reversal of 20152948510368 is 86301584925102.

20152948510368 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 2 + 94 + 8 + 510 + 36 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20152948510337) and next prime (20152948510399).

It is a super-2 number, since 2×20152948510368² (a number of 27 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26206694688 + ... + 26206695456.

It is an arithmetic number, because the mean of its divisors is an integer number (81431311500).

Almost surely, 2^{20152948510368} 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 20152948510368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31269623616000).

20152948510368 is an abundant number, since it is smaller than the sum of its proper divisors (42386298721632).

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

20152948510368 is a wasteful number, since it uses less digits than its factorization.

20152948510368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 20152948510368 in words is "twenty trillion, one hundred fifty-two billion, nine hundred forty-eight million, five hundred ten thousand, three hundred sixty-eight".