190056742512 has 320 divisors, whose sum is σ = 637959168000. Its totient is φ = 47347006464.

The previous prime is 190056742487. The next prime is 190056742567. The reversal of 190056742512 is 215247650091.

It is a super-2 number, since 2×190056742512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 29790939 + ... + 29797317.

It is an arithmetic number, because the mean of its divisors is an integer number (1993622400).

Almost surely, 2^190056742512 is an apocalyptic number.

190056742512 is a gapful number since it is divisible by the number (12) 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 190056742512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318979584000).

190056742512 is an abundant number, since it is smaller than the sum of its proper divisors (447902425488).

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

190056742512 is a wasteful number, since it uses less digits than its factorization.

190056742512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6788 (or 6782 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 190056742512 in words is "one hundred ninety billion, fifty-six million, seven hundred forty-two thousand, five hundred twelve".