162101615662560 has 768 divisors, whose sum is σ = 625728952074240. Its totient is φ = 34451908485120.

The previous prime is 162101615662543. The next prime is 162101615662573. The reversal of 162101615662560 is 65266516101261.

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 127 ways as a sum of consecutive naturals, for example, 1010698534 + ... + 1010858906.

It is an arithmetic number, because the mean of its divisors is an integer number (814751239680).

Almost surely, 2^{162101615662560} is an apocalyptic number.

162101615662560 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 162101615662560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312864476037120).

162101615662560 is an abundant number, since it is smaller than the sum of its proper divisors (463627336411680).

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

162101615662560 is a wasteful number, since it uses less digits than its factorization.

162101615662560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160711 (or 160703 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 162101615662560 in words is "one hundred sixty-two trillion, one hundred one billion, six hundred fifteen million, six hundred sixty-two thousand, five hundred sixty".