213157562040 has 320 divisors, whose sum is σ = 784754308800. Its totient is φ = 51653210112.

The previous prime is 213157561999. The next prime is 213157562053. The reversal of 213157562040 is 40265751312.

213157562040 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 57 + 562 + 0 + 40 = 666.

It is a super-2 number, since 2×213157562040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213157561986 and 213157562004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1530597 + ... + 1664043.

It is an arithmetic number, because the mean of its divisors is an integer number (2452357215).

Almost surely, 2^213157562040 is an apocalyptic number.

213157562040 is a gapful number since it is divisible by the number (20) 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 213157562040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392377154400).

213157562040 is an abundant number, since it is smaller than the sum of its proper divisors (571596746760).

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

213157562040 is a wasteful number, since it uses less digits than its factorization.

213157562040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133516 (or 133503 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 213157562040 in words is "two hundred thirteen billion, one hundred fifty-seven million, five hundred sixty-two thousand, forty".