152056402050 has 192 divisors, whose sum is σ = 435072153600. Its totient is φ = 34426252800.

The previous prime is 152056402021. The next prime is 152056402109. The reversal of 152056402050 is 50204650251.

It is a super-2 number, since 2×152056402050² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 152056401999 and 152056402017.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83044635 + ... + 83046465.

It is an arithmetic number, because the mean of its divisors is an integer number (2266000800).

Almost surely, 2^152056402050 is an apocalyptic number.

152056402050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152056402050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217536076800).

152056402050 is an abundant number, since it is smaller than the sum of its proper divisors (283015751550).

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

152056402050 is a wasteful number, since it uses less digits than its factorization.

152056402050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 152056402050 in words is "one hundred fifty-two billion, fifty-six million, four hundred two thousand, fifty".