1971016138560 has 448 divisors, whose sum is σ = 7400070365184. Its totient is φ = 434958336000.

The previous prime is 1971016138537. The next prime is 1971016138601. The reversal of 1971016138560 is 658316101791.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90191635 + ... + 90213485.

It is an arithmetic number, because the mean of its divisors is an integer number (16518014208).

Almost surely, 2^{1971016138560} is an apocalyptic number.

1971016138560 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 1971016138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700035182592).

1971016138560 is an abundant number, since it is smaller than the sum of its proper divisors (5429054226624).

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

1971016138560 is a wasteful number, since it uses less digits than its factorization.

1971016138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22342 (or 22332 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 1971016138560 in words is "one trillion, nine hundred seventy-one billion, sixteen million, one hundred thirty-eight thousand, five hundred sixty".